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13114402686 = 2347112294591
BaseRepresentation
bin11000011011010110…
…11110011101111110
31020211222001200110000
430031223132131332
5203324241341221
610005155055130
7642662404110
oct141553363576
936758050400
1013114402686
11561a813930
12265bba14a6
13130ccb8cb8
148c5a293b0
1551b4ede26
hex30dade77e

13114402686 has 160 divisors (see below), whose sum is σ = 36805063680. Its totient is φ = 3390724800.

The previous prime is 13114402669. The next prime is 13114402723. The reversal of 13114402686 is 68620441131.

13114402686 is a `hidden beast` number, since 131 + 1 + 440 + 2 + 6 + 86 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13114402686.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2854251 + ... + 2858841.

It is an arithmetic number, because the mean of its divisors is an integer number (230031648).

Almost surely, 213114402686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114402686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18402531840).

13114402686 is an abundant number, since it is smaller than the sum of its proper divisors (23690660994).

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

13114402686 is a wasteful number, since it uses less digits than its factorization.

13114402686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4852 (or 4843 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13114402686 in words is "thirteen billion, one hundred fourteen million, four hundred two thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 229 231 297 378 458 462 567 594 687 693 891 1134 1374 1386 1603 1782 2061 2079 2519 3206 4122 4158 4591 4809 5038 6183 6237 7557 9182 9618 12366 12474 13773 14427 15114 17633 18549 22671 27546 28854 32137 35266 37098 41319 43281 45342 50501 52899 64274 68013 82638 86562 96411 101002 105798 123957 129843 136026 151503 158697 192822 204039 247914 259686 289233 303006 317394 353507 371871 408078 454509 476091 578466 707014 743742 867699 909018 952182 1051339 1060521 1363527 1428273 1735398 2102678 2121042 2603097 2727054 2856546 3154017 3181563 4090581 5206194 6308034 6363126 7359373 8181162 9462051 9544689 11564729 14718746 18924102 19089378 22078119 23129458 28386153 28634067 34694187 44156238 56772306 57268134 66234357 69388374 80953103 85158459 104082561 132468714 161906206 170316918 198703071 208165122 242859309 312247683 397406142 485718618 596109213 624495366 728577927 936743049 1192218426 1457155854 1873486098 2185733781 4371467562 6557201343 13114402686