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386681095268013 = 37213312375690719
BaseRepresentation
bin101011111101011110011010…
…1010100110010011010101101
31212201010100111101020200010110
41113322330311110302122231
5401140340340342034023
63450222502015130233
7144306534004435500
oct12772746524623255
91781110441220113
10386681095268013
11102232593583767
1237451478513979
131379bb42270cc0
146b6b671865137
152ea86e17baa93
hex15faf355326ad

386681095268013 has 144 divisors (see below), whose sum is σ = 685429742108160. Its totient is φ = 192049440549120.

The previous prime is 386681095268011. The next prime is 386681095268033. The reversal of 386681095268013 is 310862590186683.

It is not a de Polignac number, because 386681095268013 - 21 = 386681095268011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386681095268011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65104068 + ... + 70794786.

It is an arithmetic number, because the mean of its divisors is an integer number (4759928764640).

Almost surely, 2386681095268013 is an apocalyptic number.

It is an amenable number.

386681095268013 is a deficient number, since it is larger than the sum of its proper divisors (298748646840147).

386681095268013 is a wasteful number, since it uses less digits than its factorization.

386681095268013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690848 (or 5690810 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 66.

The spelling of 386681095268013 in words is "three hundred eighty-six trillion, six hundred eighty-one billion, ninety-five million, two hundred sixty-eight thousand, thirteen".

Divisors: 1 3 7 13 21 31 37 39 49 91 93 111 147 217 259 273 403 481 637 651 777 961 1147 1209 1443 1519 1813 1911 2821 2883 3367 3441 4557 5439 6727 8029 8463 10101 12493 14911 19747 20181 23569 24087 35557 37479 44733 47089 56203 59241 70707 87451 104377 106671 141267 168609 248899 262353 313131 462241 612157 730639 746697 1386723 1742293 1836471 2191917 3235687 5226879 5690719 9707061 17072157 22649809 39835033 67949427 73979347 119505099 176412289 210556603 221938041 278845231 517855429 529236867 631669809 836535693 1234886023 1473896221 1553566287 2293359757 2737235839 3624988003 3704658069 4421688663 5468780959 6527254693 6880079271 8211707517 8644202161 10317273547 10874964009 16053518299 16406342877 19160650873 19581764079 25932606483 30951820641 38281466713 45690782851 48160554897 57481952619 71094152467 84854311009 112374628093 114844400139 134124556111 137072348553 202344895483 213282457401 254562933027 267970266991 319835479957 337123884279 402373668333 497659067269 593980177063 607034686449 803910800973 959506439871 1416414268381 1492977201807 1781940531189 2630483641279 3483613470883 4157861239441 4249242805143 7891450923837 9914899878667 10450840412649 12473583718323 18413385488953 29744699636001 55240156466859 128893698422671 386681095268013