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56043771264 = 2733132714603
BaseRepresentation
bin110100001100011110…
…000001010110000000
312100122210020120012000
4310030132001112000
51404234201140024
641425100304000
74022550124065
oct641436012600
9170583216160
1056043771264
112184a27a938
12aa40b42000
135391c22a40
1429d9294c6c
1516d0276cc9
hexd0c781580

56043771264 has 256 divisors, whose sum is σ = 178826726400. Its totient is φ = 17176872960.

The previous prime is 56043771263. The next prime is 56043771359. The reversal of 56043771264 is 46217734065.

56043771264 is a `hidden beast` number, since 5 + 604 + 37 + 7 + 1 + 2 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56043771263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12173187 + ... + 12177789.

It is an arithmetic number, because the mean of its divisors is an integer number (698541900).

Almost surely, 256043771264 is an apocalyptic number.

56043771264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56043771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89413363200).

56043771264 is an abundant number, since it is smaller than the sum of its proper divisors (122782955136).

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

56043771264 is a wasteful number, since it uses less digits than its factorization.

56043771264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 56043771264 in words is "fifty-six billion, forty-three million, seven hundred seventy-one thousand, two hundred sixty-four".