#include using namespace std; long long pow_long(long long a, long long b) { long res = 1; while (b > 0) { if ((b & 1) == 1) { res *= a; } b >>= 1; a *= a; } return res; } int main() { cin.tie(0); ios::sync_with_stdio(0); long long n; cin >> n; long long ans = n + 1; for (long long i = 1; i * i < n; ++i) { if (n % i != 0) continue; long long s = n / i; if (i < s - 1) { ans = min(ans, s - 1); } long long p = i + 1; long long l = p * p + p + 1; for (int j = 3; l <= s; ++j, l = l * p + 1) { long long lower = i, upper = (long long)pow(s, 1.0 / (j - 1)) + 2; while (lower + 1 < upper) { long long m = (lower + upper) / 2; long long sum = (pow_long(m, j) - 1) / (m - 1); if (sum == s) { ans = min(ans, m); break; } if (sum < s) { lower = m; } else { upper = m; } } } } cout << ans << '\n'; return 0; }