code: 
  
  
  import math
  
  
  
  
  def 			__lowercase	(						_UpperCamelCase     )    ->Union[str, Any]:
  
  
  
  
  
  
  
        """simple docstring"""
  
        lowercase			:   List[Any]					   =		0
        if n % 2 == 0:
              count += 1
              while n % 2 == 0:
                    lowercase			:   Any					   =		int(n / 2     )
      # the n input value must be odd so that
      # we can skip one element (ie i += 2)
  
        lowercase			:   Optional[int]					   =		3
  
        while i <= int(math.sqrt(_UpperCamelCase     )     ):
              if n % i == 0:
                    count += 1
                    while n % i == 0:
                          lowercase			:   Optional[Any]					   =		int(n / i     )
              lowercase			:   str					   =		i + 2
  
        # this condition checks the prime
        # number n is greater than 2
  
        if n > 2:
              count += 1
        return count
  
  
  if __name__ == "__main__":
    __a     :   int   				=      51_24_21_83
    print(F'''The number of distinct prime factors is/are {exact_prime_factor_count(n)}''')
    print(F'''The value of log(log(n)) is {math.log(math.log(n)):.4f}''')
  
  
style_context: 
  
  
  from ...utils import (
      OptionalDependencyNotAvailable,
      is_torch_available,
      is_transformers_available,
      is_transformers_version,
  )
  
  
  try:
    if not (is_transformers_available() and is_torch_available() and is_transformers_version('''>=''', '''4.27.0''')):
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    from ...utils.dummy_torch_and_transformers_objects import (
        AudioLDMPipeline,
    )
  else:
    from .pipeline_audioldm import AudioLDMPipeline
  
  