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13317375708 = 223271329140177
BaseRepresentation
bin11000110011100011…
…10000011011011100
31021101002222210002100
430121301300123130
5204233222010313
610041245325100
7651005553150
oct143161603334
937332883070
1013317375708
11571434752a
1226b7b66790
131343074590
14904983060
1552e244173
hex319c706dc

13317375708 has 144 divisors (see below), whose sum is σ = 42860825280. Its totient is φ = 3391137792.

The previous prime is 13317375707. The next prime is 13317375749. The reversal of 13317375708 is 80757371331.

13317375708 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 73 + 7 + 570 + 8 = 666.

13317375708 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13317375707) 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 47 ways as a sum of consecutive naturals, for example, 24916 + ... + 165092.

It is an arithmetic number, because the mean of its divisors is an integer number (297644620).

Almost surely, 213317375708 is an apocalyptic number.

13317375708 is a gapful number since it is divisible by the number (18) 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 13317375708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21430412640).

13317375708 is an abundant number, since it is smaller than the sum of its proper divisors (29543449572).

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

13317375708 is a wasteful number, since it uses less digits than its factorization.

13317375708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140236 (or 140231 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 13317375708 in words is "thirteen billion, three hundred seventeen million, three hundred seventy-five thousand, seven hundred eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 29 36 39 42 52 58 63 78 84 87 91 116 117 126 156 174 182 203 234 252 261 273 348 364 377 406 468 522 546 609 754 812 819 1044 1092 1131 1218 1508 1638 1827 2262 2436 2639 3276 3393 3654 4524 5278 6786 7308 7917 10556 13572 15834 23751 31668 47502 95004 140177 280354 420531 560708 841062 981239 1261593 1682124 1822301 1962478 2523186 2943717 3644602 3924956 4065133 5046372 5466903 5887434 7289204 8130266 8831151 10933806 11774868 12195399 12756107 16260532 16400709 17662302 21867612 24390798 25512214 28455931 32801418 35324604 36586197 38268321 48781596 51024428 52846729 56911862 65602836 73172394 76536642 85367793 105693458 113823724 114804963 146344788 153073284 158540187 170735586 211386916 229609926 256103379 317080374 341471172 369927103 459219852 475620561 512206758 634160748 739854206 951241122 1024413516 1109781309 1479708412 1902482244 2219562618 3329343927 4439125236 6658687854 13317375708