It's tough to be a superhero. And it's twice as tough to resist the supervillain who is cool at math. Suppose that you're an ordinary Batman in an ordinary city of Gotham. Your enemy Joker mined the building of the city administration and you only have several minutes to neutralize the charge. To do that you should enter the cancel code on the bomb control panel.However, that mad man decided to give you a hint. This morning the mayor found a playing card under his pillow. There was a line written on the card:The bomb has a note saying "J(x) = A", where A is some positive integer. You suspect that the cancel code is some integer x that meets the equation J(x) = A. Now in order to decide whether you should neutralize the bomb or run for your life, you've got to count how many distinct positive integers x meet this equation.

The single line of the input contains a single integer A (1 ≤ A ≤ 1012).

Print the number of solutions of the equation J(x) = A.

NoteRecord x|n means that number n divides number x. is defined as the largest positive integer that divides both a and b.In the first sample test the only suitable value of x is 2. Then J(2) = 1 + 2.In the second sample test the following values of x match:  x = 14, J(14) = 1 + 2 + 7 + 14 = 24  x = 15, J(15) = 1 + 3 + 5 + 15 = 24  x = 23, J(23) = 1 + 23 = 24

#include <stdio.h>

#define MAX 1000010

int p, primes[78777], flag[MAX] = {0};

void Sieve(){
    int i, j, d;

    flag[2] = 1;
    for (i = 3; i < MAX; i++, i++) flag[i] = 1;
    for (i = 3; i < 1001;){
        d = i << 1;
        for (j = (i * i); j < MAX; j += d) flag[j] = 0;

        i++, i++;
        while (!flag[i]) i++, i++;
    }

    p = 0;
    for (i = 0; i < MAX; i++){
        if (flag[i]) primes[p++] = i;
    }
}

int isPrime(long long x){
    if ((x < 2)) return 0;

    int i;
    for (i = 0; ; i++){
        long long y = primes[i];
        if ((y * y) > x) return 1;
        if ((x % y) == 0) return 0;
    }
}

int F(int i, long long a){
    if (a == 1) return 1;
    long long y = primes[i];
    if ((y + 1) > a) return 0;

    if (((y * y) + 1) > a){
        if (isPrime(a - 1)) return 1;
        return 0;
    }

    long long x = 1;
    int res = F(i + 1, a);

    for (; ;){
        x *= y;
        if ((x + 1) > a) break;

        if ((a % (x + 1)) == 0) res = res + F(i + 1, a / (x + 1));
    }
    return res;
}

int Solve(long long a){
    if (a < 5) return (a != 2);
    return F(0, a);
}

int main(){
    Sieve();
    long long a;
    while (scanf("%I64d", &a) != EOF) printf("%d\n", Solve(a));
    return 0;
}

#include <stdio.h>

#define MAX 1000010

int p, primes[78777], flag[MAX];

void Sieve(){
    int i, j, d;

    flag[2] = 1;
    for (i = 3; i < MAX; i++, i++) flag[i] = 1;
    for (i = 3; i < 1001;){
        d = i << 1;
        for (j = (i * i); j < MAX; j += d) flag[j] = 0;
        do{
            i++;
        }while (!flag[++i]);
    }

    for (i = 0; i < MAX; i++){
        if (flag[i]) primes[p++] = i;
    }
}

int isPrime(long long x){
    int i;
    for (i = 0; ; i++){
        long long y = primes[i];
        if ((y * y) > x) return 1;
        if ((x % y) == 0) return 0;
    }
}

int F(int i, long long a){
    if (a == 1) return 1;
    long long y = primes[i];
    if ((y + 1) > a) return 0;

    if (((y * y) + 1) > a){
        if (isPrime(a - 1)) return 1;
        return 0;
    }

    long long x = 1;
    int res = F(i + 1, a);

    for (; ;){
        x *= y;
        if ((x + 1) > a) break;

        if ((a % (x + 1)) == 0) res = res + F(i + 1, a / (x + 1));
    }
    return res;
}

int Solve(long long a){
    if (a < 5) return (a != 2);
    return F(0, a);
}

int main(){
    Sieve();
    long long a;
    while (scanf("%I64d", &a) != EOF) printf("%d\n", Solve(a));
    return 0;
}

#include <stdio.h>
#include <string.h>

#define MAX 1000010
#define clr(ar) memset(ar, 0, sizeof(ar))
#define read() freopen("lol.txt", "r", stdin)

int p, primes[78777], flag[MAX] = {0};

void Sieve(){
    int i, j, d;

    flag[2] = 1;
    for (i = 3; i < MAX; i++, i++) flag[i] = 1;
    for (i = 3; i < 1001;){
        d = i << 1;
        for (j = (i * i); j < MAX; j += d) flag[j] = 0;

        i++, i++;
        while (!flag[i]) i++, i++;
    }

    p = 0;
    for (i = 0; i < MAX; i++){
        if (flag[i]) primes[p++] = i;
    }
}

int isPrime(long long x){
    if ((x < 2) || !(x & 1)) return 0;

    int i;
    for (i = 1; i < p; i++){
        long long y = primes[i];
        if ((y * y) > x) return 1;
        if ((x % y) == 0) return 0;
    }
    return 1;
}

int F(int i, long long a){
    if (a == 1) return 1;
    long long y = primes[i];
    if ((y + 1) > a) return 0;

    if ((i == p) || ( ((y * y) + 1) > a) ){
        if ((primes[i - 1] + 1) < a){
            if (isPrime(a - 1)) return 1;
            return 0;
        }
        return 0;
    }

    long long x = 1;
    int res = F(i + 1, a);

    for (; ;){
        x *= y;
        if ((x + 1) > a) break;

        if ((a % (x + 1)) == 0) res = res + F(i + 1, a / (x + 1));
    }
    return res;
}

int Solve(long long a){
    if (a < 5) return (a != 2);
    return F(0, a);
}

int main(){
    Sieve();
    long long a;
    while (scanf("%I64d", &a) != EOF) printf("%d\n", Solve(a));
    return 0;
}

#include <stdio.h>
#include <string.h>

#define MAXI 100
#define MAXA 50000
#define MAX 1000010
#define clr(ar) memset(ar, 0, sizeof(ar))
#define read() freopen("lol.txt", "r", stdin)

int dp[MAXI][MAXA];
int p, primes[78777], flag[MAX] = {0};

void Sieve(){
    int i, j, d;

    flag[2] = 1;
    for (i = 3; i < MAX; i++, i++) flag[i] = 1;
    for (i = 3; i < 1001;){
        d = i << 1;
        for (j = (i * i); j < MAX; j += d) flag[j] = 0;

        i++, i++;
        while (!flag[i]) i++, i++;
    }

    p = 0;
    for (i = 0; i < MAX; i++){
        if (flag[i]) primes[p++] = i;
    }
}

int isPrime(long long x){
    if ((x < 2) || !(x & 1)) return 0;

    int i;
    for (i = 1; i < p; i++){
        long long y = primes[i];
        if ((y * y) > x) return 1;
        if ((x % y) == 0) return 0;
    }
    return 1;
}

int F(int i, long long a){
    if (a == 1) return 1;
    long long y = primes[i];
    if ((y + 1) > a) return 0;

    if ((i == p) || ( ((y * y) + 1) > a) ){
        if ((primes[i - 1] + 1) < a){
            if (isPrime(a - 1)) return 1;
            return 0;
        }
        return 0;
    }
    if (i < MAXI && a < MAXA && dp[i][a] != -1) return dp[i][a];

    long long x = 1;
    int res = F(i + 1, a);

    for (; ;){
        x *= y;
        if ((x + 1) > a) break;

        if ((a % (x + 1)) == 0) res = res + F(i + 1, a / (x + 1));
    }

    if (i < MAXI && a < MAXA) dp[i][a] = res;
    return res;
}

int Solve(long long a){
    if (a < 5) return (a != 2);
    return F(0, a);
}

int main(){
    Sieve();
    memset(dp, -1, sizeof(dp));

    long long a;
    while (scanf("%I64d", &a) != EOF) printf("%d\n", Solve(a));
    return 0;
}

#include <stdio.h>

#define MAX 1000010

int p, primes[78777], flag[MAX] = {0};

void Sieve(){
    int i, j, d;

    flag[2] = 1;
    for (i = 3; i < MAX; i++, i++) flag[i] = 1;
    for (i = 3; i < 1001;){
        d = i << 1;
        for (j = (i * i); j < MAX; j += d) flag[j] = 0;

        i++, i++;
        while (!flag[i]) i++, i++;
    }

    p = 0;
    for (i = 0; i < MAX; i++){
        if (flag[i]) primes[p++] = i;
    }
}

int isPrime(long long x){
    if ((x < 2)) return 0;

    int i;
    for (i = 0; i < p; i++){
        long long y = primes[i];
        if ((y * y) > x) return 1;
        if ((x % y) == 0) return 0;
    }
    return 1;
}

int F(int i, long long a){
    if (a == 1) return 1;
    long long y = primes[i];
    if ((y + 1) > a) return 0;

    if ((i == p) || ( ((y * y) + 1) > a) ){
        if ((primes[i - 1] + 1) < a){
            if (isPrime(a - 1)) return 1;
            return 0;
        }
        return 0;
    }

    long long x = 1;
    int res = F(i + 1, a);

    for (; ;){
        x *= y;
        if ((x + 1) > a) break;

        if ((a % (x + 1)) == 0) res = res + F(i + 1, a / (x + 1));
    }
    return res;
}

int Solve(long long a){
    if (a < 5) return (a != 2);
    return F(0, a);
}

int main(){
    Sieve();
    long long a;
    while (scanf("%I64d", &a) != EOF) printf("%d\n", Solve(a));
    return 0;
}

#include <stdio.h>

#define MAX 1000010

int p, primes[78777], flag[MAX] = {0};

void Sieve(){
    int i, j, d;

    flag[2] = 1;
    for (i = 3; i < MAX; i++, i++) flag[i] = 1;
    for (i = 3; i < 1001;){
        d = i << 1;
        for (j = (i * i); j < MAX; j += d) flag[j] = 0;

        i++, i++;
        while (!flag[i]) i++, i++;
    }

    p = 0;
    for (i = 0; i < MAX; i++){
        if (flag[i]) primes[p++] = i;
    }
}

int isPrime(long long x){
    if ((x < 2)) return 0;

    int i;
    for (i = 0; i < p; i++){
        long long y = primes[i];
        if ((y * y) > x) return 1;
        if ((x % y) == 0) return 0;
    }
    return 1;
}

int F(int i, long long a){
    if (a == 1) return 1;
    long long y = primes[i];
    if ((y + 1) > a) return 0;

    if ((i == p) || ( ((y * y) + 1) > a) ){
        if (isPrime(a - 1)) return 1;
        return 0;
    }

    long long x = 1;
    int res = F(i + 1, a);

    for (; ;){
        x *= y;
        if ((x + 1) > a) break;

        if ((a % (x + 1)) == 0) res = res + F(i + 1, a / (x + 1));
    }
    return res;
}

int Solve(long long a){
    if (a < 5) return (a != 2);
    return F(0, a);
}

int main(){
    Sieve();
    long long a;
    while (scanf("%I64d", &a) != EOF) printf("%d\n", Solve(a));
    return 0;
}

#include <stdio.h>

#define MAX 1000010

int p, i, j, primes[78777];

int isPrime(long long x){
    for (j = 0; ;j++){
        long long y = primes[j];
        if ((y * y) > x) return 1;
        if (!(x % y)) return 0;
    }
}

int F(int i, long long a){
    if (a == 1) return 1;
    long long x = 1, y = primes[i];
    if ((y + 1) > a) return 0;
    if (((y * y) + 1) > a) return isPrime(--a);

    int res = F(++i, a);
    for (; ;){
        x *= y;
        if ((x + 1) > a) break;
        if (!(a % (x + 1))) res = res + F(i, a / (x + 1));
    }
    return res;
}

int Solve(long long a){
    if (a < 5) return (a != 2);
    return F(0, a);
}

int main(){
    freopen("lol.txt", "r", stdin);
    primes[p++] = 2;
    for (i = 3; i < MAX; i+=2){
        if (isPrime(i)) primes[p++] = i;
    }

    long long a;
    while (scanf("%I64d", &a) != EOF) printf("%d\n", Solve(a));
    return 0;
}