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11285831284 = 22713295918121
BaseRepresentation
bin10101000001011000…
…00001111001110100
31002010112021122001021
422200230001321310
5141103133100114
65103514310524
7546446661130
oct124054017164
932115248037
1011285831284
1148716150a2
12222b728444
1310ab2042a0
14790c363c0
15460c00024
hex2a0b01e74

11285831284 has 96 divisors (see below), whose sum is σ = 25573766400. Its totient is φ = 4237470720.

The previous prime is 11285831273. The next prime is 11285831311. The reversal of 11285831284 is 48213858211.

It is a self number, because there is not a number n which added to its sum of digits gives 11285831284.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 613744 + ... + 631864.

It is an arithmetic number, because the mean of its divisors is an integer number (266393400).

Almost surely, 211285831284 is an apocalyptic number.

11285831284 is a gapful number since it is divisible by the number (14) 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 11285831284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12786883200).

11285831284 is an abundant number, since it is smaller than the sum of its proper divisors (14287935116).

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

11285831284 is a wasteful number, since it uses less digits than its factorization.

11285831284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18233 (or 18231 counting only the distinct ones).

The product of its digits is 122880, while the sum is 43.

The spelling of 11285831284 in words is "eleven billion, two hundred eighty-five million, eight hundred thirty-one thousand, two hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 59 91 116 118 182 203 236 364 377 406 413 754 767 812 826 1508 1534 1652 1711 2639 3068 3422 5278 5369 6844 10556 10738 11977 18121 21476 22243 23954 36242 44486 47908 72484 88972 126847 155701 235573 253694 311402 471146 507388 525509 622804 942292 1051018 1069139 1649011 2102036 2138278 3298022 3678563 4276556 6596044 6831617 7357126 7483973 13663234 13898807 14714252 14967946 27326468 27797614 29935892 31005031 47821319 55595228 62010062 95642638 97291649 124020124 191285276 194583298 217035217 389166596 403065403 434070434 806130806 868140868 1612261612 2821457821 5642915642 11285831284