24303989349327424 = 2^6 * 11^14 (Yes)
79792266297612001 = 7^20 (Yes)
467851794974552912 = 7^1 * 2^4 * 11^15 (Yes)
566608619280937216 = 2^8 * 19^12 (Yes)
932195579567617600 = 5^2 * 2^6 * 17^12 (Yes)
999983616067108864 = 1953109^2 * 2^18 (Yes)
999197664639844352 = 19681^3 * 2^17 (Yes)
998848442311376896 = 15619^3 * 2^18 (No)
999999999987679232 = 1907348632789^1 * 2^19 (Yes)
798352691495399040 = 2^7 * 3^1 * 5^1 * 7^1 * 11^1 * 13^1 * 17^1 * 19^1 * 23^1 * 29^1 * 31^1 * 37^1 * 41^2 (Yes)