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56344876632 = 233211283251387
BaseRepresentation
bin110100011110011010…
…101001011001011000
312101102202211022002200
4310132122221121120
51410343242023012
641515014130200
74033164356232
oct643632513130
9171382738080
1056344876632
1121994239850
12ab05950960
13540c4199b5
142a27275252
1516eb9033dc
hexd1e6a9658

56344876632 has 96 divisors (see below), whose sum is σ = 167062409280. Its totient is φ = 17013804480.

The previous prime is 56344876607. The next prime is 56344876633. The reversal of 56344876632 is 23667844365.

56344876632 is a `hidden beast` number, since 563 + 4 + 4 + 8 + 76 + 6 + 3 + 2 = 666.

56344876632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56344876633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98443 + ... + 349829.

It is an arithmetic number, because the mean of its divisors is an integer number (1740233430).

Almost surely, 256344876632 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 56344876632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83531204640).

56344876632 is an abundant number, since it is smaller than the sum of its proper divisors (110717532648).

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

56344876632 is a wasteful number, since it uses less digits than its factorization.

56344876632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251693 (or 251686 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 56344876632 in words is "fifty-six billion, three hundred forty-four million, eight hundred seventy-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 283 396 566 792 849 1132 1698 2264 2547 3113 3396 5094 6226 6792 9339 10188 12452 18678 20376 24904 28017 37356 56034 74712 112068 224136 251387 502774 754161 1005548 1508322 2011096 2262483 2765257 3016644 4524966 5530514 6033288 8295771 9049932 11061028 16591542 18099864 22122056 24887313 33183084 49774626 66366168 71142521 99549252 142285042 199098504 213427563 284570084 426855126 569140168 640282689 782567731 853710252 1280565378 1565135462 1707420504 2347703193 2561130756 3130270924 4695406386 5122261512 6260541848 7043109579 9390812772 14086219158 18781625544 28172438316 56344876632