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56816181048 = 23311435394433
BaseRepresentation
bin110100111010100000…
…100001111100111000
312102122121200001012210
4310322200201330320
51412324420243143
642033451535120
74050646366464
oct647240417470
9172577601183
1056816181048
1122106286830
12b01775a4a0
135485c65753
142a6dabb4a4
151727e9e033
hexd3a821f38

56816181048 has 128 divisors (see below), whose sum is σ = 161550132480. Its totient is φ = 16499159040.

The previous prime is 56816181047. The next prime is 56816181067. The reversal of 56816181048 is 84018161865.

It is a super-2 number, since 2×568161810482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56816180988 and 56816181006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56816181041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554440 + ... + 648872.

It is an arithmetic number, because the mean of its divisors is an integer number (1262110410).

Almost surely, 256816181048 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 56816181048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80775066240).

56816181048 is an abundant number, since it is smaller than the sum of its proper divisors (104733951432).

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

56816181048 is a wasteful number, since it uses less digits than its factorization.

56816181048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94549 (or 94545 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The spelling of 56816181048 in words is "fifty-six billion, eight hundred sixteen million, one hundred eighty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 53 66 86 88 106 129 132 159 172 212 258 264 318 344 424 473 516 583 636 946 1032 1166 1272 1419 1749 1892 2279 2332 2838 3498 3784 4558 4664 5676 6837 6996 9116 11352 13674 13992 18232 25069 27348 50138 54696 75207 94433 100276 150414 188866 200552 283299 300828 377732 566598 601656 755464 1038763 1133196 2077526 2266392 3116289 4060619 4155052 5004949 6232578 8121238 8310104 10009898 12181857 12465156 15014847 16242476 20019796 24363714 24930312 30029694 32484952 40039592 44666809 48727428 55054439 60059388 89333618 97454856 110108878 120118776 134000427 165163317 178667236 215212807 220217756 268000854 330326634 357334472 430425614 440435512 536001708 645638421 660653268 860851228 1072003416 1291276842 1321306536 1721702456 2367340877 2582553684 4734681754 5165107368 7102022631 9469363508 14204045262 18938727016 28408090524 56816181048