Problems > Distinct Prime Factors

Distinct Prime Factors

Difficulty: 1200 3000 ms 128 MB

math number-theory

How many distinct primes divide N?

Input: one integer N.

Output: the count of distinct prime factors.

Constraints:

  • 2 ≤ N ≤ 1012

Sample Tests

Input 1
60
Output 1
3
Input 2
8
Output 2
1

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