def make_divisors(n): for i in range(1, int(n ** 0.5) + 1): if n % i == 0: yield i if i != n // i: yield n // i N = int(input()) if N <= 2: print(N + 1) exit() ans = N - 1 for i in make_divisors(N): div = N // i for x in range(2, 50): # bisect l, r = 1, max(int(div ** (1 / (x - 1))) + 1, 2) while r - l > 1: m = (r + l) // 2 if (m ** x - 1) < div * (m - 1): l = m else: r = m if (r ** x - 1) == div * (r - 1) and i < r: ans = min(ans, r) # print(f'div={div}, x={x}, p={r}') print(ans)