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79569381042 = 23217239112
BaseRepresentation
bin100101000011010110…
…1000110011010110010
321121101022211100211200
41022012231012122302
52300424230143132
6100315331552030
75514542402514
oct1120655063262
9247338740750
1079569381042
1130821928748
121350775b616
137670b628b8
143bcb8c3bb4
15210a7acd7c
hex1286b466b2

79569381042 has 54 divisors (see below), whose sum is σ = 183184900509. Its totient is φ = 24956560320.

The previous prime is 79569381041. The next prime is 79569381049. The reversal of 79569381042 is 24018396597.

79569381042 is a `hidden beast` number, since 7 + 9 + 569 + 38 + 1 + 0 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72823879881 + 6745501161 = 269859^2 + 82131^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=199461.

It is a self number, because there is not a number n which added to its sum of digits gives 79569381042.

It is not an unprimeable number, because it can be changed into a prime (79569381041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20343067 + ... + 20346977.

It is a 2-persistent number, because it is pandigital, and so is 2⋅79569381042 = 159138762084, but 3⋅79569381042 = 238708143126 is not.

Almost surely, 279569381042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79569381042

79569381042 is an abundant number, since it is smaller than the sum of its proper divisors (103615519467).

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

79569381042 is an equidigital number, since it uses as much as digits as its factorization.

79569381042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7864 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 79569381042 in words is "seventy-nine billion, five hundred sixty-nine million, three hundred eighty-one thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1734 2601 3911 5202 7822 11733 23466 35199 66487 70398 132974 199461 398922 598383 1130279 1196766 2260558 3390837 6781674 10172511 15295921 20345022 30591842 45887763 91775526 137663289 260030657 275326578 520061314 780091971 1560183942 2340275913 4420521169 4680551826 8841042338 13261563507 26523127014 39784690521 79569381042