code: 
  import math
  
  
  
  def 		UpperCamelCase    (					_UpperCAmelCase     :      int     )      -> float:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						_lowercase					:  List[str]    			=      math.log(2   , 10     ) * number
  						_lowercase					:  Tuple    			=      round((log_number - int(_UpperCAmelCase     ))   , 15     )
  
  						return difference
  
  
  
  def 		UpperCamelCase    (					_UpperCAmelCase     :      int = 67_8910     )      -> int:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						_lowercase					:  Tuple    			=      90
  						_lowercase					:  Tuple    			=      0
  
  						_lowercase					:  int    			=      math.log(1.23   , 10     )
  						_lowercase					:  Optional[Any]    			=      math.log(1.24   , 10     )
  						_lowercase					:  Optional[Any]    			=      0
  
  						while position < number:
  												_lowercase					:  str    			=      log_difference(_UpperCAmelCase     )
  
  												if difference >= upper_limit:
  																		power_iterator += 93
  
  												elif difference < lower_limit:
  																		power_iterator += 196
  
  												else:
  																		_lowercase					:  List[Any]    			=      power_iterator
  																		power_iterator += 196
  																		position += 1
  
  						return previous_power
  
  
  if __name__ == "__main__":
  							import doctest
  
  							doctest.testmod()
  
  							print(f'''{solution() = }''')
  
  
  
  
  
style_context: 
  import math
  
  
  
  def 		UpperCamelCase    (					_UpperCAmelCase     :      int     )      -> list:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						if n <= 0:
  												raise ValueError("Only positive integers have prime factors"     )
  						_lowercase					:  Optional[int]    			=      []
  						while n % 2 == 0:
  												pf.append(2     )
  												_lowercase					:  Tuple    			=      int(n / 2     )
  						for i in range(3   , int(math.sqrt(_UpperCAmelCase     )     ) + 1   , 2     ):
  												while n % i == 0:
  																		pf.append(_UpperCAmelCase     )
  																		_lowercase					:  Optional[int]    			=      int(n / i     )
  						if n > 2:
  												pf.append(_UpperCAmelCase     )
  						return pf
  
  
  
  def 		UpperCamelCase    (					_UpperCAmelCase     :      int     )      -> int:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						if n <= 0:
  												raise ValueError("Only positive numbers are accepted"     )
  						_lowercase					:  str    			=      1
  						_lowercase					:  Tuple    			=      1
  						while n % 2 == 0:
  												temp += 1
  												_lowercase					:  List[Any]    			=      int(n / 2     )
  						div *= temp
  						for i in range(3   , int(math.sqrt(_UpperCAmelCase     )     ) + 1   , 2     ):
  												_lowercase					:  Optional[Any]    			=      1
  												while n % i == 0:
  																		temp += 1
  																		_lowercase					:  Optional[Any]    			=      int(n / i     )
  												div *= temp
  						if n > 1:
  												div *= 2
  						return div
  
  
  
  def 		UpperCamelCase    (					_UpperCAmelCase     :      int     )      -> int:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						if n <= 0:
  												raise ValueError("Only positive numbers are accepted"     )
  						_lowercase					:  int    			=      1
  						_lowercase					:  List[str]    			=      1
  						while n % 2 == 0:
  												temp += 1
  												_lowercase					:  str    			=      int(n / 2     )
  						if temp > 1:
  												s *= (2**temp - 1) / (2 - 1)
  						for i in range(3   , int(math.sqrt(_UpperCAmelCase     )     ) + 1   , 2     ):
  												_lowercase					:  int    			=      1
  												while n % i == 0:
  																		temp += 1
  																		_lowercase					:  List[Any]    			=      int(n / i     )
  												if temp > 1:
  																		s *= (i**temp - 1) / (i - 1)
  						return int(_UpperCAmelCase     )
  
  
  
  def 		UpperCamelCase    (					_UpperCAmelCase     :      int     )      -> int:
  
  
  
  
  
  
  						'''simple docstring'''
  
  						_lowercase					:  int    			=      n
  						for x in set(prime_factors(_UpperCAmelCase     )     ):
  												s *= (x - 1) / x
  						return int(_UpperCAmelCase     )
  
  
  if __name__ == "__main__":
  							import doctest
  
  							doctest.testmod()
  
  
  
  
  