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56000110056 = 233113715137967
BaseRepresentation
bin110100001001110111…
…011101110111101000
312100112202002100021020
4310021313131313220
51404142012010211
641420500412440
74021510036662
oct641167356750
9170482070236
1056000110056
11218276695a0
12aa2a3a7120
135385b768c7
1429d356b532
1516cb500306
hexd09dddde8

56000110056 has 128 divisors (see below), whose sum is σ = 157898280960. Its totient is φ = 16401312000.

The previous prime is 56000110021. The next prime is 56000110079. The reversal of 56000110056 is 65001100065.

It is a super-2 number, since 2×560001100562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1455985 + ... + 1493951.

It is an arithmetic number, because the mean of its divisors is an integer number (1233580320).

Almost surely, 256000110056 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 56000110056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78949140480).

56000110056 is an abundant number, since it is smaller than the sum of its proper divisors (101898170904).

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

56000110056 is a wasteful number, since it uses less digits than its factorization.

56000110056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38175 (or 38171 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Subtracting 56000110056 from its reverse (65001100065), we obtain a palindrome (9000990009).

The spelling of 56000110056 in words is "fifty-six billion, one hundred ten thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 151 222 264 296 302 407 444 453 604 814 888 906 1208 1221 1628 1661 1812 2442 3256 3322 3624 4884 4983 5587 6644 9768 9966 11174 13288 16761 19932 22348 33522 37967 39864 44696 61457 67044 75934 113901 122914 134088 151868 184371 227802 245828 303736 368742 417637 455604 491656 737484 835274 911208 1252911 1404779 1474968 1670548 2505822 2809558 3341096 4214337 5011644 5619116 5733017 8428674 10023288 11238232 11466034 15452569 16857348 17199051 22932068 30905138 33714696 34398102 45864136 46357707 61810276 63063187 68796204 92715414 123620552 126126374 137592408 185430828 189189561 212121629 252252748 370861656 378379122 424243258 504505496 636364887 756758244 848486516 1272729774 1513516488 1696973032 2333337919 2545459548 4666675838 5090919096 7000013757 9333351676 14000027514 18666703352 28000055028 56000110056