2432902008176640000

This number is a composite.

                                                        243290200 8176640000

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+ 20! = 2432902008176640000 is the minimal factorial equal to the sum of the 7th powers of distinct primes. These are: {5, 13, 31, 43, 59, 67, 71, 83, 97, 103, 109, 113, 137, 149, 167, 179, 181, 191, 193, 197, 227, 229, 233, 239, 241, 257, 263, 269, 277, 281, 283, 293, 311, 313, 317, 331}. By Dmitry Kamenetsky. No factorial is known for 8th distinct prime powers. [Rivera]

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