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10831338792 = 2334177313469
BaseRepresentation
bin10100001011001100…
…10001110100101000
31000221212002000120000
422011212101310220
5134140310320132
64550441103000
7532260601131
oct120546216450
930855060500
1010831338792
11465901016a
122123487a60
131037cc3811
1474a728c88
15435d7587c
hex285991d28

10831338792 has 160 divisors (see below), whose sum is σ = 32564802600. Its totient is φ = 3351269376.

The previous prime is 10831338781. The next prime is 10831338821. The reversal of 10831338792 is 29783313801.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10611884196 + 219454596 = 103014^2 + 14814^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 797434 + ... + 810902.

Almost surely, 210831338792 is an apocalyptic number.

10831338792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10831338792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16282401300).

10831338792 is an abundant number, since it is smaller than the sum of its proper divisors (21733463808).

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

10831338792 is a wasteful number, since it uses less digits than its factorization.

10831338792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13577 (or 13564 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10831338792 in words is "ten billion, eight hundred thirty-one million, three hundred thirty-eight thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 73 81 102 108 136 146 153 162 204 216 219 292 306 324 408 438 459 584 612 648 657 876 918 1224 1241 1314 1377 1752 1836 1971 2482 2628 2754 3672 3723 3942 4964 5256 5508 5913 7446 7884 9928 11016 11169 11826 13469 14892 15768 22338 23652 26938 29784 33507 40407 44676 47304 53876 67014 80814 89352 100521 107752 121221 134028 161628 201042 228973 242442 268056 323256 363663 402084 457946 484884 686919 727326 804168 915892 969768 983237 1090989 1373838 1454652 1831784 1966474 2060757 2181978 2747676 2909304 2949711 3932948 4121514 4363956 5495352 5899422 6182271 7865896 8243028 8727912 8849133 11798844 12364542 16486056 16715029 17698266 18546813 23597688 24729084 26547399 33430058 35396532 37093626 49458168 50145087 53094798 66860116 70793064 74187252 79642197 100290174 106189596 133720232 148374504 150435261 159284394 200580348 212379192 300870522 318568788 401160696 451305783 601741044 637137576 902611566 1203482088 1353917349 1805223132 2707834698 3610446264 5415669396 10831338792