Super Factorialicity

Check this out:

but 2+3+11=16
Here is the interesting part:
n=16 is the largest value of n such that 16^n divides 66! (66! is read “sixty six factorial” and it is defined to be 66\times65\times64\times63\times\cdots\times3\times2\times1)

2+3+13=18 and 18^{18} is the highest power of 18 dividing 78!.

Can you find any other examples of this phenomenon?


I found another
7+47=54 and
54^{54} is the greatest power of 54 that divides 129!.

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