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53944763905656 = 2335132312612801
BaseRepresentation
bin11000100001111111111100…
…11111010111011001111000
321002000001212100101122100000
430100333332133113121320
524032312334024440111
6310421514334113000
714235244352366301
oct1420777637273170
9232001770348300
1053944763905656
1116208933984508
126072a3434b760
132413c7aa38c00
14d46d24a597a8
15638361734c56
hex310ffe7d7678

53944763905656 has 864 divisors, whose sum is σ = 172366475495760. Its totient is φ = 15793989120000.

The previous prime is 53944763905639. The next prime is 53944763905667. The reversal of 53944763905656 is 65650936744935.

53944763905656 is a `hidden beast` number, since 5 + 3 + 9 + 4 + 476 + 3 + 90 + 5 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 19259107456 + ... + 19259110256.

Almost surely, 253944763905656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53944763905656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86183237747880).

53944763905656 is an abundant number, since it is smaller than the sum of its proper divisors (118421711590104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53944763905656 is a wasteful number, since it uses less digits than its factorization.

53944763905656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 2204496000, while the sum is 72.

The spelling of 53944763905656 in words is "fifty-three trillion, nine hundred forty-four billion, seven hundred sixty-three million, nine hundred five thousand, six hundred fifty-six".