Problems
Unexpressed
Unexpressed
One integer $n$ is given. How many integers between $1$ and $n$ (inclusive) are unrepresentable as $a^b$, where $a$ and $b$ are integers not less than $2$?
\InputFile
One positive integer $n~(n \le 10^{10})$.
\OutputFile
Print the amount of unrepresentable numbers.
Input example #1
8
Output example #1
6
Input example #2
100000
Output example #2
99634