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10338881058 = 232112171032711
BaseRepresentation
bin10011010000011111…
…01100111000100010
3222200112102120112200
421220033230320202
5132133223143213
64425530034030
7514131016242
oct115017547042
928615376480
1010338881058
114426035400
122006578916
13c89c7c6cc
14701177b22
154079ec273
hex2683ece22

10338881058 has 144 divisors (see below), whose sum is σ = 26333693568. Its totient is φ = 2918995200.

The previous prime is 10338881057. The next prime is 10338881093. The reversal of 10338881058 is 85018883301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10338881057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3812323 + ... + 3815033.

It is an arithmetic number, because the mean of its divisors is an integer number (182872872).

Almost surely, 210338881058 is an apocalyptic number.

10338881058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10338881058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13166846784).

10338881058 is an abundant number, since it is smaller than the sum of its proper divisors (15994812510).

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

10338881058 is a wasteful number, since it uses less digits than its factorization.

10338881058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 10338881058 in words is "ten billion, three hundred thirty-eight million, eight hundred eighty-one thousand, fifty-eight".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 103 121 153 187 198 206 242 306 309 363 374 561 618 726 927 1089 1122 1133 1683 1751 1854 2057 2178 2266 2711 3366 3399 3502 4114 5253 5422 6171 6798 8133 10197 10506 12342 12463 15759 16266 18513 19261 20394 24399 24926 29821 31518 37026 37389 38522 46087 48798 57783 59642 74778 89463 92174 112167 115566 138261 173349 178926 211871 224334 268389 276522 279233 328031 346698 414783 423742 506957 536778 558466 635613 656062 829566 837699 984093 1013914 1271226 1520871 1675398 1906839 1968186 2513097 2952279 3041742 3071563 3813678 4562613 4746961 5026194 5576527 5904558 6143126 9125226 9214689 9493922 11153054 14240883 16729581 18429378 27644067 28481766 33459162 33787193 42722649 50188743 52216571 55288134 67574386 85445298 100377486 101361579 104433142 156649713 202723158 304084737 313299426 469949139 574382281 608169474 939898278 1148764562 1723146843 3446293686 5169440529 10338881058