#P27E. Number With The Given Amount Of Divisors

    ID: 9640 Type: RemoteJudge 2000ms 256MiB Tried: 1 Accepted: 1 Difficulty: 7 Uploaded By: Tags>brute forcedpnumber theory*2000

Number With The Given Amount Of Divisors

Description

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.

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

Output the smallest positive integer with exactly n divisors.

Input

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

Output

Output the smallest positive integer with exactly n divisors.

4

6

6

12