import std.stdio, std.array, std.string, std.conv, std.algorithm;
import std.typecons, std.range, std.random, std.math, std.container;
import std.numeric, std.bigint, core.bitop;

void main() {
    auto T = readln.chomp.to!int;

    long[] P;
    auto table = new bool[](10^^6);
    for (long i = 2; i * i <= 10L^^11; ++i) {
        if (table[i.to!int]) continue;
        P ~= i;
        for (long j = i * 2; j * j <= 10L ^^ 11; j += i) {
            table[j.to!int] = true;
        }
    }

    while (T--) {
        auto X = readln.chomp.to!long;
        long ans = 1L << 59;
        foreach (i; 0..P.length.to!int) {
            if (X % P[i] != 0) {
                writeln(min(ans, X * P[i]));
                break;
            } else {
                long count = 0;
                long Y = X;
                while (Y % P[i] == 0) {
                    Y /= P[i];
                    count += 1;
                }
                ans = min(ans, X * P[i]^^(count+1));
            }
        }
    }
}