Dividers#2774

Dividers

1 second
122.174 megabytes
Medium

Determine the maximum number of natural divisors that any natural number can have within the range from to (1 \leq N \leq 10^{19}), inclusive.

Input

The input consists of a single natural number (1 \leq N \leq 10^{19}).

Output

Output a single natural number, which is the highest number of natural divisors found among all numbers from to .

Examples

Example 1

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