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115789043052306 = 232137138631804133
BaseRepresentation
bin11010010100111100111100…
…110001111010111100010010
3120011222022202111101000221100
4122110330330301322330102
5110134041430010133211
61050132430235205230
733250324266541101
oct3224747461727422
9504868674330840
10115789043052306
1133991948209478
1210ba08382a6816
134c7bb242ac690
142084310788038
15d5be1333d156
hex694f3cc7af12

115789043052306 has 96 divisors (see below), whose sum is σ = 274050783482112. Its totient is φ = 35116491231360.

The previous prime is 115789043052173. The next prime is 115789043052307. The reversal of 115789043052306 is 603250340987511.

It is a happy number.

115789043052306 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 89 + 0 + 4 + 30 + 523 + 0 + 6 = 666.

115789043052306 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (115789043052307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63277816 + ... + 65081948.

It is an arithmetic number, because the mean of its divisors is an integer number (2854695661272).

It is a 1-persistent number, because it is pandigital, but 2⋅115789043052306 = 231578086104612 is not.

Almost surely, 2115789043052306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115789043052306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137025391741056).

115789043052306 is an abundant number, since it is smaller than the sum of its proper divisors (158261740429806).

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

115789043052306 is a wasteful number, since it uses less digits than its factorization.

115789043052306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808088 (or 1808085 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 115789043052306 in words is "one hundred fifteen trillion, seven hundred eighty-nine billion, forty-three million, fifty-two thousand, three hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 71 78 117 142 213 234 426 639 923 1278 1846 2769 3863 5538 7726 8307 11589 16614 23178 34767 50219 69534 100438 150657 274273 301314 451971 548546 822819 903942 1645638 1804133 2468457 3565549 3608266 4936914 5412399 7131098 10696647 10824798 16237197 21393294 23453729 32089941 32474394 46907458 64179882 70361187 128093443 140722374 211083561 256186886 384280329 422167122 768560658 1152840987 1665214759 2305681974 3330429518 4995644277 6969365779 9991288554 13938731558 14986932831 20908097337 29973865662 41816194674 62724292011 90601755127 125448584022 181203510254 271805265381 494824970309 543610530762 815415796143 989649940618 1484474910927 1630831592286 2968949821854 4453424732781 6432724614017 8906849465562 12865449228034 19298173842051 38596347684102 57894521526153 115789043052306