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56814627114 = 23272433893851
BaseRepresentation
bin110100111010011010…
…100110100100101010
312102122111202002121200
4310322122212210222
51412324021031424
642033354345030
74050630235200
oct647232464452
9172574662550
1056814627114
1122105415293
12b01712b176
13548584036b
142a6d7d5070
151727c938c9
hexd3a6a692a

56814627114 has 144 divisors (see below), whose sum is σ = 146941011360. Its totient is φ = 15810379200.

The previous prime is 56814627109. The next prime is 56814627167. The reversal of 56814627114 is 41172641865.

56814627114 is a `hidden beast` number, since 5 + 6 + 8 + 1 + 4 + 627 + 1 + 14 = 666.

56814627114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56814627114.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14751289 + ... + 14755139.

It is an arithmetic number, because the mean of its divisors is an integer number (1020423690).

Almost surely, 256814627114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56814627114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73470505680).

56814627114 is an abundant number, since it is smaller than the sum of its proper divisors (90126384246).

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

56814627114 is a wasteful number, since it uses less digits than its factorization.

56814627114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4305 (or 4295 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 56814627114 in words is "fifty-six billion, eight hundred fourteen million, six hundred twenty-seven thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 49 63 86 98 126 129 147 258 294 301 387 389 441 602 774 778 882 903 1167 1806 2107 2334 2709 2723 3501 3851 4214 5418 5446 6321 7002 7702 8169 11553 12642 16338 16727 18963 19061 23106 24507 26957 33454 34659 37926 38122 49014 50181 53914 57183 69318 80871 100362 114366 117089 150543 161742 165593 171549 188699 234178 242613 301086 331186 343098 351267 377398 485226 496779 566097 702534 819623 993558 1053801 1132194 1159151 1490337 1498039 1639246 1698291 2107602 2318302 2458869 2980674 2996078 3396582 3477453 4494117 4917738 6954906 7376607 8114057 8988234 10432359 10486273 13482351 14753214 16228114 20864718 20972546 24342171 26964702 31458819 48684342 62917638 64415677 73026513 73403911 94376457 128831354 146053026 146807822 188752914 193247031 220211733 386494062 440423466 450909739 579741093 660635199 901819478 1159482186 1321270398 1352729217 2705458434 3156368173 4058187651 6312736346 8116375302 9469104519 18938209038 28407313557 56814627114