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239791642945092 = 2232717127440738369
BaseRepresentation
bin110110100001011011010111…
…101100101010011001000100
31011110000212010220000000020100
4312201123113230222121010
5222412221241043220332
62205554432055004100
7101336242310544630
oct6641332754523104
91143025126000210
10239791642945092
116a4500790a6177
1222a89288069630
13a3a534103ac74
14432dd9816bdc0
151cac7e6d0c67c
hexda16d7b2a644

239791642945092 has 144 divisors (see below), whose sum is σ = 739255756861440. Its totient is φ = 63974055591936.

The previous prime is 239791642945021. The next prime is 239791642945097. The reversal of 239791642945092 is 290549246197932.

239791642945092 is a `hidden beast` number, since 2 + 3 + 9 + 7 + 9 + 1 + 64 + 29 + 450 + 92 = 666.

239791642945092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 239791642945092.

It is not an unprimeable number, because it can be changed into a prime (239791642945097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219825117 + ... + 220913252.

It is an arithmetic number, because the mean of its divisors is an integer number (5133720533760).

Almost surely, 2239791642945092 is an apocalyptic number.

It is an amenable number.

239791642945092 is an abundant number, since it is smaller than the sum of its proper divisors (499464113916348).

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

239791642945092 is a wasteful number, since it uses less digits than its factorization.

239791642945092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440738530 (or 440738525 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 239791642945092 in words is "two hundred thirty-nine trillion, seven hundred ninety-one billion, six hundred forty-two million, nine hundred forty-five thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 127 153 204 238 252 254 306 357 381 476 508 612 714 762 889 1071 1143 1428 1524 1778 2142 2159 2286 2667 3556 4284 4318 4572 5334 6477 8001 8636 10668 12954 15113 16002 19431 25908 30226 32004 38862 45339 60452 77724 90678 136017 181356 272034 544068 440738369 881476738 1322215107 1762953476 2644430214 3085168583 3966645321 5288860428 6170337166 7492552273 7933290642 9255505749 12340674332 14985104546 15866581284 18511011498 22477656819 27766517247 29970209092 37022022996 44955313638 52447865911 55533034494 55973772863 67432970457 89910627276 104895731822 111066068988 111947545726 134865940914 157343597733 167921318589 209791463644 223895091452 269731881828 314687195466 335842637178 391816410041 472030793199 503763955767 629374390932 671685274356 783632820082 944061586398 951554138671 1007527911534 1175449230123 1567265640164 1888123172796 1903108277342 2015055823068 2350898460246 2854662416013 3526347690369 3806216554684 4701796920492 5709324832026 6660878970697 7052695380738 8563987248039 11418649664052 13321757941394 14105390761476 17127974496078 19982636912091 26643515882788 34255948992156 39965273824182 59947910736273 79930547648364 119895821472546 239791642945092