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55839023974656 = 28321323412637517
BaseRepresentation
bin11001011001001000010010…
…01100000100100100000000
321022201011021120220102222100
430230210021030010210000
524304331310114142111
6314432032105310400
714522144032330206
oct1454441114044400
9238634246812870
1055839023974656
111687921934a06a
126319b88195400
13252079c551570
14db08a2017076
1566c77b612756
hex32c909304900

55839023974656 has 864 divisors, whose sum is σ = 186062592748032. Its totient is φ = 15970304655360.

The previous prime is 55839023974631. The next prime is 55839023974661. The reversal of 55839023974656 is 65647932093855.

55839023974656 is a `hidden beast` number, since 5 + 58 + 3 + 9 + 0 + 23 + 97 + 465 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7428361810 + ... + 7428369326.

It is an arithmetic number, because the mean of its divisors is an integer number (215350223088).

Almost surely, 255839023974656 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 55839023974656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93031296374016).

55839023974656 is an abundant number, since it is smaller than the sum of its proper divisors (130223568773376).

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

55839023974656 is a wasteful number, since it uses less digits than its factorization.

55839023974656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7879 (or 7862 counting only the distinct ones).

The product of its (nonzero) digits is 1469664000, while the sum is 72.

The spelling of 55839023974656 in words is "fifty-five trillion, eight hundred thirty-nine billion, twenty-three million, nine hundred seventy-four thousand, six hundred fifty-six".