-- yukicoder My Practice
-- author: Leonardone @ NEETSDKASU

main = readLn >>= print . g where
    f x p c
        | m > 0     = (x, c)
        | otherwise = f d p (c + 1) where
            (d, m) = divMod x p
    g x = r2 * (h d2 3 1) where
        (d2, c2) = f x 2 0
        r2 = 1 + (mod c2 2)
        h z i y
            | z == 1    = y
            | z < i * i = y * z
            | otherwise = h d (i + 2) (y * r) where
                (d, c) = f z i 0
                r = if 1 == mod c 2 then i else 1