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56189400619808 = 2537613106972421
BaseRepresentation
bin11001100011010100111010…
…10000111001101100100000
321100221122122221101012100202
430301222131100321230200
524331101343024313213
6315301015421004332
714556356504556251
oct1461523520715440
9240848587335322
1056189400619808
11169a38778824a5
126375a706b36a8
13254783a175031
14dc381d8d0b28
15676936764b58
hex331a9d439b20

56189400619808 has 96 divisors (see below), whose sum is σ = 113906054510640. Its totient is φ = 27264885534720.

The previous prime is 56189400619787. The next prime is 56189400619879. The reversal of 56189400619808 is 80891600498165.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23321056739344 + 32868343880464 = 4829188^2 + 5733092^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775835438 + ... + 775907858.

Almost surely, 256189400619808 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 56189400619808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56953027255320).

56189400619808 is an abundant number, since it is smaller than the sum of its proper divisors (57716653890832).

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

56189400619808 is a wasteful number, since it uses less digits than its factorization.

56189400619808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74150 (or 74142 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 65.

The spelling of 56189400619808 in words is "fifty-six trillion, one hundred eighty-nine billion, four hundred million, six hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 613 1069 1184 1226 2138 2452 4276 4904 8552 9808 17104 19616 22681 34208 39553 45362 72421 79106 90724 144842 158212 181448 289684 316424 362896 579368 632848 655297 725792 1158736 1265696 1310594 2317472 2621188 2679577 5242376 5359154 10484752 10718308 20969504 21436616 24245989 42873232 44394073 48491978 77418049 85746464 88788146 96983956 154836098 177576292 193967912 309672196 355152584 387935824 619344392 710305168 775871648 1238688784 1420610336 1642580701 2477377568 2864467813 3285161402 5728935626 6570322804 11457871252 13140645608 22915742504 26281291216 45831485008 47457264037 52562582432 91662970016 94914528074 189829056148 379658112296 759316224592 1518632449184 1755918769369 3511837538738 7023675077476 14047350154952 28094700309904 56189400619808