#include using namespace std; // #include // using namespace atcoder; // // input and output of modint // istream &operator>>(istream &is, modint998244353 &a) { long long v; is >> v; a = v; return is; } // ostream &operator<<(ostream &os, const modint998244353 &a) { return os << a.val(); } // istream &operator>>(istream &is, modint1000000007 &a) { long long v; is >> v; a = v; return is; } // ostream &operator<<(ostream &os, const modint1000000007 &a) { return os << a.val(); } // template istream &operator>>(istream &is, static_modint &a) { long long v; is >> v; a = v; return is; } // template ostream &operator<<(ostream &os, const static_modint &a) { return os << a.val(); } // template istream &operator>>(istream &is, dynamic_modint &a) { long long v; is >> v; a = v; return is; } // template ostream &operator<<(ostream &os, const dynamic_modint &a) { return os << a.val(); } #define rep2(i, m, n) for (int i = (m); i < (n); ++i) #define rep(i, n) rep2(i, 0, n) #define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i) #define drep(i, n) drep2(i, n, 0) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() #ifdef LOCAL void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << ' ' << H; debug_out(T...); } #define debug(...) cerr << 'L' << __LINE__ << " [" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__) #define dump(x) cerr << 'L' << __LINE__ << " " << #x << " = " << (x) << endl #else #define debug(...) (void(0)) #define dump(x) (void(0)) #endif template using V = vector; using ll = long long; using ld = long double; using Vi = V; using VVi = V; using Vl = V; using VVl = V; using Vd = V; using VVd = V; using Vb = V; using VVb = V; template using priority_queue_rev = priority_queue, greater>; template vector make_vec(size_t n, T a) { return vector(n, a); } template auto make_vec(size_t n, Ts... ts) { return vector(n, make_vec(ts...)); } template inline int sz(const T &x) { return size(x); } template inline bool chmin(T &a, const T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T &a, const T b) { if (a < b) { a = b; return true; } return false; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const pair &p) { os << '(' << p.first << ", " << p.second << ')'; return os; } template istream &operator>>(istream &is, array &v) { for (auto &e : v) is >> e; return is; } template ostream &operator<<(ostream &os, const array &v) { for (auto &e : v) os << e << ' '; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &e : v) is >> e; return is; } template ostream &operator<<(ostream &os, const vector &v) { for (auto &e : v) os << e << ' '; return os; } template inline void deduplicate(vector &a) { sort(all(a)); a.erase(unique(all(a)), a.end()); } template inline int count_between(const vector &a, T l, T r) { return lower_bound(all(a), r) - lower_bound(all(a), l); } // [l, r) inline ll cDiv(const ll x, const ll y) { return (x+y-1) / y; } // ceil(x/y) inline int fLog2(const ll x) { assert(x > 0); return 63-__builtin_clzll(x); } // floor(log2(x)) inline int cLog2(const ll x) { assert(x > 0); return (x == 1) ? 0 : 64-__builtin_clzll(x-1); } // ceil(log2(x)) inline int popcount(const ll x) { return __builtin_popcountll(x); } inline void fail() { cout << -1 << '\n'; exit(0); } struct fast_ios { fast_ios(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_; // const int INF = (1<<30) - 1; // const ll INFll = (1ll<<60) - 1; // const ld EPS = 1e-10; // const ld PI = acos(-1.0); // using mint = modint998244353; // using mint = modint1000000007; // using mint = modint; // using Vm = V; using VVm = V; template vector divisor(T n) { vector res; for (T i = 1; i*i <= n; ++i) { T d = n/i; if (d*i != n) continue; res.push_back(i); if (i*i != n) res.push_back(d); } return res; } int main() { ll n; cin >> n; ll ans = n-1; for (auto e : divisor(n)) { ll p = e - 1; if (p < 2) continue; if (n/e < p) chmin(ans, p); } for (ll p = 2; p * p <= n; ++p) { debug(p); for (ll x = 0, y = 1; x < n; y *= p) { x += y; if (n % x == 0 && n/x < p) chmin(ans, p); } } cout << ans << '\n'; }