Problem3540--Number With The Given Amount Of Divisors

3540: Number With The Given Amount Of Divisors

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Time Limit : 2.000 sec  Memory Limit : 256 MiB

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Description

time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

Given the number n, find the smallest positive integer which has exactly n divisors. It is guaranteed that for the given n the answer will not exceed 1018.

Input

The first line of the input contains integer n (1≤n≤1000).

Output

Output the smallest positive integer with exactly n divisors.

Examples
Input
4
Output
6
Input
6
Output
12

Source/Category

 
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