#include<bits/stdc++.h>
using namespace std;
#include<atcoder/all>
using namespace atcoder;
#define rep(i,N) for(int i=0;i<N;++i)
using ll=long long;
constexpr int ch[]={2,3,5,7,11,13,17,19,23,29,31,37};
vector<int> vch[40];
int sol(ll N){
  vector<int> cnt(12,0);
  rep(i,12)while(N%ch[i]==0){
    N/=ch[i];
    cnt[i]++;
  }
  ll now=1;
  for(auto x:cnt)now*=x+1;
  rep(ans,40){
    auto& t=vch[ans];
    ll ret=now;
    rep(i,12){
      if(t[i]){
        ret/=cnt[i]+1;
        ret*=cnt[i]+t[i]+1;
      }
    }
    if(ret==now*2)return ans+1;
  }
  assert(false);
}
int main(){
  rep(j,40){
    vector<int> v(12,0);
    auto N=j+1;
    rep(i,12)while(N%ch[i]==0){
      N/=ch[i];
      v[i]++;
    }
    vch[j]=v;
  }
  cin.tie(0);
  ios::sync_with_stdio(0);
  int T;
  cin>>T;
  while(T--){
    ll N;
    cin>>N;
    cout<<sol(N)*N<<'\n';
  }
}