B. Duff in Love

хугацааны хязгаарлалт 2 секунд

санах ойн хязгаарлалт 256 мегабайт

оролт стандарт оролт

гаралт стандарт гаралт

Duff is in love with lovely numbers! A positive integer $x$ is called lovely$ if and only if there is no such positive integer $a > 1$ such that $a^{2}$ is a divisor of $x$.

Malek has a number store! In his store, he has only divisors of positive integer $n$ (and he has all of them). As a birthday present, Malek wants to give her a lovely$ number from his store. He wants this number to be as big as possible.

Malek always had issues in math, so he asked for your help. Please tell him what is the biggest lovely number in his store.

Оролт

The first and only line of input contains one integer, $n$ ($1 ≤ n ≤ 10^{12}$).

Гаралт

Print the answer in one line.

Орчуулсан: [орчуулагдаж байгаа]

Жишээ тэстүүд

Оролт
10
Гаралт
10
Оролт
12
Гаралт
6

Тэмдэглэл

In first sample case, there are numbers 1, 2, 5 and 10 in the shop. 10 isn't divisible by any perfect square, so 10 is lovely$.

In second sample case, there are numbers 1, 2, 3, 4, 6 and 12 in the shop. 12 is divisible by $4 = 2^{2}$, so 12 is not lovely$, while 6 is indeed lovely$.

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