Supernatural
Practice
3.6 (105 votes)
Basic programming
Math
Number theory
Problem
93% Success 22832 Attempts 20 Points 1s Time Limit 256MB Memory 1024 KB Max Code
You are given a number n.
A supernatural number is a number whose product of digits is equal to n, and in this number there is no digit 1.
Count the number of supernatural numbers for a given n.
Input
Contains a single integer n, 1 <= n <= 100.
Output
Print the number of supernatural numbers.
Sample Input
4
Sample Output
2
Explanation
There are only two natural numbers, the product of the digits of which is 4 - 4, 22.
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