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3116006403822 = 234136723992399
BaseRepresentation
bin101101010110000000011…
…101000110111011101110
3102000212221211210011220000
4231112000131012323232
5402023040114410242
610343250143205130
7441060354263664
oct55260035067356
912025854704800
103116006403822
11aa1544420994
12423aa02a67a6
13197ab85285c0
14aab5bab4c34
15560c3cdba4c
hex2d580746eee

3116006403822 has 160 divisors (see below), whose sum is σ = 7663493376000. Its totient is φ = 940499284032.

The previous prime is 3116006403803. The next prime is 3116006403857. The reversal of 3116006403822 is 2283046006113.

3116006403822 is a `hidden beast` number, since 3 + 1 + 1 + 6 + 0 + 0 + 640 + 3 + 8 + 2 + 2 = 666.

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, 33677179 + ... + 33769577.

It is an arithmetic number, because the mean of its divisors is an integer number (47896833600).

Almost surely, 23116006403822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3116006403822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831746688000).

3116006403822 is an abundant number, since it is smaller than the sum of its proper divisors (4547486972178).

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

3116006403822 is a wasteful number, since it uses less digits than its factorization.

3116006403822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92732 (or 92723 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3116006403822 in words is "three trillion, one hundred sixteen billion, six million, four hundred three thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 67 78 81 117 134 162 201 234 239 351 402 478 603 702 717 871 1053 1206 1434 1742 1809 2106 2151 2613 3107 3618 4302 5226 5427 6214 6453 7839 9321 10854 12906 15678 16013 18642 19359 23517 27963 32026 38718 47034 48039 55926 70551 83889 92399 96078 141102 144117 167778 184798 208169 251667 277197 288234 416338 432351 503334 554394 624507 831591 864702 1201187 1249014 1297053 1663182 1873521 2402374 2494773 2594106 3603561 3747042 4989546 5620563 6190733 7207122 7484319 10810683 11241126 12381466 14968638 16861689 18572199 21621366 22083361 32432049 33723378 37144398 44166722 55716597 64864098 66250083 80479529 97296147 111433194 132500166 160959058 167149791 194592294 198750249 241438587 287083693 334299582 397500498 482877174 501449373 574167386 596250747 724315761 861251079 1002898746 1192501494 1448631522 1479585187 1722502158 1788752241 2172947283 2583753237 2959170374 3577504482 4345894566 4438755561 5167506474 6518841849 7751259711 8877511122 13037683698 13316266683 15502519422 19234607431 23253779133 26632533366 38469214862 39948800049 46507558266 57703822293 79897600098 115407644586 119846400147 173111466879 239692800294 346222933758 519334400637 1038668801274 1558003201911 3116006403822