#abc114d. [abc114_d]756
[abc114_d]756
Problem Statement
You are given an integer . Among the divisors of , how many Shichi-Go numbers (literally "Seven-Five numbers") are there?
Here, a Shichi-Go number is a positive integer that has exactly divisors.
Note
When a positive integer divides a positive integer , is said to a divisor of . For example, has four divisors: and .
Constraints
- is an integer.
Input
Input is given from Standard Input in the following format:
Output
Print the number of the Shichi-Go numbers that are divisors of .
Sample Input 1
9
Sample Output 1
0
There are no Shichi-Go numbers among the divisors of .
Sample Input 2
10
Sample Output 2
1
There is one Shichi-Go number among the divisors of : .
Sample Input 3
100
Sample Output 3
543