#include using namespace std; #define rep(i, n) for(int i = 0, i_length = (n); i < i_length; i++) #define MOD 1000000007 #define ll long long ll power(ll a, ll p) { ll ret = 1; for (ll i = 1; i <= p; i *= 2, a *= a) { if ((i & p) > 0) ret *= a; } return ret; } int main() { ll n; cin >> n; if (n == 1) { cout << 2 << endl; return 0; } if (n == 2) { cout << 3 << endl; return 0; } ll ans = 1000000000000; for (ll a = 1; a * a <= n; a++) { if (n % a != 0) continue; ll an = n / a; for (int i = 2; i <= 40; i++) { ll ng = (ll)(pow(1000000000000000000, 1.0 / i) + 5); ll ok = 1; while (ng - ok > 1) { ll mid = ok + (ng - ok) / 2; ll t = (power(mid, i) - 1) / (mid - 1); if (t == an) { if (a < mid) { ans = min(ans, mid); } break; } if (t > an) ng = mid; else ok = mid; } } } cout << ans << endl; return 0; }