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Maximum Number Of Divisors

Time Limit: 20000/10000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 510    Accepted Submission(s): 153


Problem Description
You are given an integer P, please find an integer K that has the maximum number of divisors under the condition that K <= P.
Note that if multiple integers have the same number of divisors, please choose the smallest one.
 

Input
The input consists of multiple test cases.
For each case, the input contains a single line with one integer P(1 <= P <= 1080)
 

Output
For each test case, output K and the number of K's divisors.
The number of K's divisors is guaranteed to be smaller than 262.
 

Sample Input
100
10
1000000000000000
 

Sample Output
60 12
6 4
866421317361600 26880
 

Source
2012 Multi-University Training Contest 10
 

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