#include <iostream>
#include <vector>
#include <algorithm>
#include <cmath>
#include <queue>
#include <string>
#include <map>
#include <set>
#include <stack>
#include <tuple>
#include <deque>
#include <array>
#include <numeric>
#include <bitset>
#include <iomanip>
#include <cassert>
#include <chrono>
#include <random>
#include <limits>
#include <iterator>
#include <functional>
#include <sstream>
#include <fstream>
#include <complex>
#include <cstring>
#include <unordered_map>
using namespace std;

using ll = long long;
using P = pair<int, int>;
constexpr int INF = 1001001001;
constexpr int mod = 1000000007;
// constexpr int mod = 998244353;

template<class T>
inline bool chmax(T& x, T y){
    if(x < y){
        x = y;
        return true;
    }
    return false;
}
template<class T>
inline bool chmin(T& x, T y){
    if(x > y){
        x = y;
        return true;
    }
    return false;
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    ll N;
    cin >> N;

    vector<ll> d;
    for(ll i = 1; i * i <= N; ++i){
        if(N % i == 0){
            d.emplace_back(i);
            if(i * i != N)  d.emplace_back(N / i);
        }
    }
    sort(d.begin(), d.end());

    vector<ll> lb(40, 2), ub(40);
    for(int k = 2; k < 40; ++k){
        ll l = 2, r = N + 1;
        while(r - l > 1){
            ll m = (l + r) / 2;
            bool ok = true;
            ll prod = 1;
            for(int i = 1; i < k; ++i){
                if(prod > (ll)1e+15 / m){
                    ok = false;
                    break;
                }
                prod *= m;
            }
            if(ok)  l = m;
            else    r = m;
        }
        ub[k] = r;
    }

    auto func = [](ll r, int n){
        ll res = 1, a = 1;
        for(int i = 1; i < n; ++i)  res += (a *= r);
        return res;
    };

    ll ans = N + 1;
    for(ll x : d){
        ll y = N / x, p = 1e+17;
        if(y == 1)  continue;
        for(int k = 2; k < 40; ++k){
            ll l = lb[k], r = ub[k];
            while(r - l > 1){
                ll m = (l + r) / 2;
                if(func(m, k) <= y) l = m;
                else    r = m;
            }
            if(x < l && func(l, k) == y)    chmin(p, l);
        }
        chmin(ans, p);
    }

    cout << ans << endl;

    return 0;
}