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23083314912 = 2532737309461
BaseRepresentation
bin10101011111110111…
…110110111011100000
32012120201022220011100
4111133313312323200
5334233312034122
614334311314400
71445011640130
oct253767667340
965521286140
1023083314912
119875a25169
12458267ba00
13223b410328
14118d9b8ac0
159017baaac
hex55fdf6ee0

23083314912 has 144 divisors (see below), whose sum is σ = 77048610912. Its totient is φ = 6416962560.

The previous prime is 23083314887. The next prime is 23083314977. The reversal of 23083314912 is 21941338032.

23083314912 is a `hidden beast` number, since 2 + 308 + 331 + 4 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80139 + ... + 229322.

It is an arithmetic number, because the mean of its divisors is an integer number (535059798).

Almost surely, 223083314912 is an apocalyptic number.

It is an amenable number.

23083314912 is an abundant number, since it is smaller than the sum of its proper divisors (53965296000).

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

23083314912 is a wasteful number, since it uses less digits than its factorization.

23083314912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309521 (or 309510 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 23083314912 in words is "twenty-three billion, eighty-three million, three hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 56 63 72 74 84 96 111 112 126 144 148 168 222 224 252 259 288 296 333 336 444 504 518 592 666 672 777 888 1008 1036 1184 1332 1554 1776 2016 2072 2331 2664 3108 3552 4144 4662 5328 6216 8288 9324 10656 12432 18648 24864 37296 74592 309461 618922 928383 1237844 1856766 2166227 2475688 2785149 3713532 4332454 4951376 5570298 6498681 7427064 8664908 9902752 11140596 11450057 12997362 14854128 17329816 19496043 22281192 22900114 25994724 29708256 34350171 34659632 38992086 44562384 45800228 51989448 68700342 69319264 77984172 80150399 89124768 91600456 103050513 103978896 137400684 155968344 160300798 183200912 206101026 207957792 240451197 274801368 311936688 320601596 366401824 412202052 480902394 549602736 623873376 641203192 721353591 824404104 961804788 1099205472 1282406384 1442707182 1648808208 1923609576 2564812768 2885414364 3297616416 3847219152 5770828728 7694438304 11541657456 23083314912