What is the prime factorization of 846728467284672?
22cdot3cdot8422^2 \\cdot 3 \\cdot 84^222cdot3cdot842
4cdot3cdot844 \\cdot 3 \\cdot 844cdot3cdot84
2cdot3cdot842 \\cdot 3 \\cdot 842cdot3cdot84
23cdot322^3 \\cdot 3^223cdot32