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56832812416 = 274327737277
BaseRepresentation
bin110100111011011111…
…111110010110000000
312102200202222000011101
4310323133332112000
51412343144444131
642035244224144
74051240635442
oct647337762600
9172622860141
1056832812416
1122114706166
12b02123b054
1354895397b3
142a71daa492
151729686c61
hexd3b7fe580

56832812416 has 64 divisors (see below), whose sum is σ = 116276046480. Its totient is φ = 27654617088.

The previous prime is 56832812411. The next prime is 56832812417. The reversal of 56832812416 is 61421823865.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×568328124162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56832812411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1505970 + ... + 1543246.

Almost surely, 256832812416 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 56832812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58138023240).

56832812416 is an abundant number, since it is smaller than the sum of its proper divisors (59443234064).

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

56832812416 is a wasteful number, since it uses less digits than its factorization.

56832812416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37611 (or 37599 counting only the distinct ones).

The product of its digits is 552960, while the sum is 46.

The spelling of 56832812416 in words is "fifty-six billion, eight hundred thirty-two million, eight hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 277 344 554 688 1108 1376 2216 2752 4432 5504 8864 11911 17728 23822 35456 37277 47644 74554 95288 149108 190576 298216 381152 596432 762304 1192864 1524608 1602911 2385728 3205822 4771456 6411644 10325729 12823288 20651458 25646576 41302916 51293152 82605832 102586304 165211664 205172608 330423328 444006347 660846656 888012694 1321693312 1776025388 3552050776 7104101552 14208203104 28416406208 56832812416