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56814816312 = 23333761311597
BaseRepresentation
bin110100111010011011…
…010100110000111000
312102122112002201011000
4310322123110300320
51412324043110222
642033402405000
74050631653612
oct647233246070
9172575081130
1056814816312
1122105534451
12b017200760
1354858a8507
142a6d843db2
151727cce9ac
hexd3a6d4c38

56814816312 has 128 divisors (see below), whose sum is σ = 162362721600. Its totient is φ = 18394781184.

The previous prime is 56814816299. The next prime is 56814816337. The reversal of 56814816312 is 21361841865.

56814816312 is a `hidden beast` number, since 5 + 6 + 8 + 1 + 4 + 8 + 1 + 631 + 2 = 666.

56814816312 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4893298 + ... + 4904894.

Almost surely, 256814816312 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 56814816312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81181360800).

56814816312 is an abundant number, since it is smaller than the sum of its proper divisors (105547905288).

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

56814816312 is a wasteful number, since it uses less digits than its factorization.

56814816312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12262 (or 12252 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 56814816312 in words is "fifty-six billion, eight hundred fourteen million, eight hundred sixteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 613 666 888 999 1226 1332 1839 1998 2452 2664 3678 3996 4904 5517 7356 7992 11034 11597 14712 16551 22068 22681 23194 33102 34791 44136 45362 46388 66204 68043 69582 90724 92776 104373 132408 136086 139164 181448 204129 208746 272172 278328 313119 408258 417492 429089 544344 612387 626238 816516 834984 858178 1224774 1252476 1287267 1633032 1716356 2449548 2504952 2574534 3432712 3861801 4899096 5149068 7108961 7723602 10298136 11585403 14217922 15447204 21326883 23170806 28435844 30894408 42653766 46341612 56871688 63980649 85307532 92683224 127961298 170615064 191941947 255922596 263031557 383883894 511845192 526063114 767767788 789094671 1052126228 1535535576 1578189342 2104252456 2367284013 3156378684 4734568026 6312757368 7101852039 9469136052 14203704078 18938272104 28407408156 56814816312