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56409536592 = 2434199218723
BaseRepresentation
bin110100100010010001…
…010011100001010000
312101121021111100220000
4310202101103201100
51411011320132332
641525244050000
74034611102233
oct644221234120
9171537440800
1056409536592
1121a17792832
12ab23533900
13541c938a26
142a31aa741a
151702426b7c
hexd22453850

56409536592 has 100 divisors (see below), whose sum is σ = 164086744800. Its totient is φ = 18708604992.

The previous prime is 56409536569. The next prime is 56409536641. The reversal of 56409536592 is 29563590465.

It is a happy number.

56409536592 is a `hidden beast` number, since 5 + 6 + 40 + 9 + 5 + 3 + 6 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 148543 + ... + 367265.

It is an arithmetic number, because the mean of its divisors is an integer number (1640867448).

Almost surely, 256409536592 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 56409536592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82043372400).

56409536592 is an abundant number, since it is smaller than the sum of its proper divisors (107677208208).

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

56409536592 is a wasteful number, since it uses less digits than its factorization.

56409536592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218942 (or 218927 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 56409536592 in words is "fifty-six billion, four hundred nine million, five hundred thirty-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 199 216 324 398 432 597 648 796 1194 1296 1592 1791 2388 3184 3582 4776 5373 7164 9552 10746 14328 16119 21492 28656 32238 42984 64476 85968 128952 218723 257904 437446 656169 874892 1312338 1749784 1968507 2624676 3499568 3937014 5249352 5905521 7874028 10498704 11811042 15748056 17716563 23622084 31496112 35433126 43525877 47244168 70866252 87051754 94488336 130577631 141732504 174103508 261155262 283465008 348207016 391732893 522310524 696414032 783465786 1044621048 1175198679 1566931572 2089242096 2350397358 3133863144 3525596037 4700794716 6267726288 7051192074 9401589432 14102384148 18803178864 28204768296 56409536592