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56839442088 = 233111336745127
BaseRepresentation
bin110100111011111001…
…010000111010101000
312102201020102211100210
4310323321100322220
51412401344121323
642040042301120
74051351200102
oct647371207250
9172636384323
1056839442088
1122118424130
12b0234b77a0
13548aa1b290
142a72c14572
15172a046293
hexd3be50ea8

56839442088 has 128 divisors (see below), whose sum is σ = 167399608320. Its totient is φ = 15855471360.

The previous prime is 56839442083. The next prime is 56839442131. The reversal of 56839442088 is 88024493865.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (56839442083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1236981 + ... + 1282107.

It is an arithmetic number, because the mean of its divisors is an integer number (1307809440).

Almost surely, 256839442088 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 56839442088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83699804160).

56839442088 is an abundant number, since it is smaller than the sum of its proper divisors (110560166232).

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

56839442088 is a wasteful number, since it uses less digits than its factorization.

56839442088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45527 (or 45523 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 56839442088 in words is "fifty-six billion, eight hundred thirty-nine million, four hundred forty-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 367 429 572 734 858 1101 1144 1468 1716 2202 2936 3432 4037 4404 4771 8074 8808 9542 12111 14313 16148 19084 24222 28626 32296 38168 45127 48444 52481 57252 90254 96888 104962 114504 135381 157443 180508 209924 270762 314886 361016 419848 496397 541524 586651 629772 992794 1083048 1173302 1259544 1489191 1759953 1985588 2346604 2978382 3519906 3971176 4693208 5956764 6453161 7039812 11913528 12906322 14079624 16561609 19359483 25812644 33123218 38718966 49684827 51625288 66246436 77437932 99369654 132492872 154875864 182177699 198739308 215300917 364355398 397478616 430601834 546533097 645902751 728710796 861203668 1093066194 1291805502 1457421592 1722407336 2186132388 2368310087 2583611004 4372264776 4736620174 5167222008 7104930261 9473240348 14209860522 18946480696 28419721044 56839442088