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56806309824 = 2631158745821
BaseRepresentation
bin110100111001111010…
…110111111111000000
312102121221002112102220
4310321322313333000
51412314403403244
642032500211040
74050466444425
oct647172677700
9172557075386
1056806309824
11221007543a0
12b014399a80
135483bba6a4
142a6c66bd4c
15172719e319
hexd39eb7fc0

56806309824 has 112 divisors (see below), whose sum is σ = 164246576256. Its totient is φ = 17184332800.

The previous prime is 56806309823. The next prime is 56806309871. The reversal of 56806309824 is 42890360865.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56806309823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1216834 + ... + 1262654.

It is an arithmetic number, because the mean of its divisors is an integer number (1466487288).

Almost surely, 256806309824 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 56806309824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82123288128).

56806309824 is an abundant number, since it is smaller than the sum of its proper divisors (107440266432).

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

56806309824 is a wasteful number, since it uses less digits than its factorization.

56806309824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46434 (or 46424 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 56806309824 in words is "fifty-six billion, eight hundred six million, three hundred nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 587 704 1056 1174 1761 2112 2348 3522 4696 6457 7044 9392 12914 14088 18784 19371 25828 28176 37568 38742 45821 51656 56352 77484 91642 103312 112704 137463 154968 183284 206624 274926 309936 366568 413248 504031 549852 619872 733136 1008062 1099704 1239744 1466272 1512093 2016124 2199408 2932544 3024186 4032248 4398816 6048372 8064496 8797632 12096744 16128992 24193488 26896927 32257984 48386976 53793854 80690781 96773952 107587708 161381562 215175416 295866197 322763124 430350832 591732394 645526248 860701664 887598591 1183464788 1291052496 1721403328 1775197182 2366929576 2582104992 3550394364 4733859152 5164209984 7100788728 9467718304 14201577456 18935436608 28403154912 56806309824