#include <bits/stdc++.h>
using namespace std;
typedef unsigned long long ull;
const ull INF = ~0ull;
int Num;
ull n,ans;
int p[16] = {2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53};
void dfs(int dep, ull tmp, int num, int pre)
{
if(dep >= 16) return ;
if(tmp > n) return ;
if(num > Num) {
Num = num;
ans = tmp;
}
else if(num == Num && tmp < ans)
ans = tmp;
for(int i=1;i<=pre;i++) {
if(n/p[dep] < tmp) break;
dfs(dep+1, tmp*=p[dep], num*(i+1), i);
}
}
int main()
{
int T; scanf("%d", &T);
while(T--) {
scanf("%llu", &n);
ans = INF;
Num = 0;
dfs(0,1,1,20);
printf("%llu %d
", ans, Num);
}
return 0;
}