x = gets.to_i
xn = x
n = 2
z = Array.new
if x == 1
    puts 1
    exit
end
while true do
    if xn % n != 0
        n += 1
        next
    end
    while xn % n == 0 do
        xn /= n
    end
    a = x / n
    b = n
    while true do
        r = a % b
        if r == 0
            break
        end
        a = b
        b = r
    end
    w = x / b
    z.push((w / (x / n)) * (w / n))
    if xn == 1
        break;
    end
end
print z.min