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91162443008 = 2871331126233
BaseRepresentation
bin101010011100110110…
…1000111110100000000
322201022021012221011002
41110321231013310000
52443200041134013
6105513543311132
76405042660140
oct1247155076400
9281267187132
1091162443008
113573090579a
121580214b4a8
13879a8c6b90
1445ab452920
152588449358
hex1539b47d00

91162443008 has 144 divisors (see below), whose sum is σ = 231187977216. Its totient is φ = 34900623360.

The previous prime is 91162442957. The next prime is 91162443049. The reversal of 91162443008 is 80034426119.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 659060 + ... + 785292.

It is an arithmetic number, because the mean of its divisors is an integer number (1605472064).

Almost surely, 291162443008 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 91162443008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115593988608).

91162443008 is an abundant number, since it is smaller than the sum of its proper divisors (140025534208).

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

91162443008 is a wasteful number, since it uses less digits than its factorization.

91162443008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126300 (or 126286 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 91162443008 in words is "ninety-one billion, one hundred sixty-two million, four hundred forty-three thousand, eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 128 182 208 217 224 248 256 364 403 416 434 448 496 728 806 832 868 896 992 1456 1612 1664 1736 1792 1984 2821 2912 3224 3328 3472 3968 5642 5824 6448 6944 7936 11284 11648 12896 13888 22568 23296 25792 27776 45136 51584 55552 90272 103168 126233 180544 252466 361088 504932 722176 883631 1009864 1641029 1767262 2019728 3282058 3534524 3913223 4039456 6564116 7069048 7826446 8078912 11487203 13128232 14138096 15652892 16157824 22974406 26256464 27392561 28276192 31305784 32315648 45948812 50871899 52512928 54785122 56552384 62611568 91897624 101743798 105025856 109570244 113104768 125223136 183795248 203487596 210051712 219140488 226209536 250446272 356103293 367590496 406975192 420103424 438280976 500892544 712206586 735180992 813950384 876561952 1001785088 1424413172 1470361984 1627900768 1753123904 2848826344 2940723968 3255801536 3506247808 5697652688 6511603072 7012495616 11395305376 13023206144 22790610752 45581221504 91162443008