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2531123512164 = 22321319377693291
BaseRepresentation
bin100100110101010010101…
…101111100001101100100
322221222021100102210112100
4210311102231330031210
5312432220104342124
65214440533052100
7350603412604062
oct44652255741544
98858240383470
102531123512164
11896497266665
1234a670187030
131548b776ab20
148a71541b032
1545c911b71c9
hex24d52b7c364

2531123512164 has 144 divisors (see below), whose sum is σ = 7448953046080. Its totient is φ = 717876276480.

The previous prime is 2531123512163. The next prime is 2531123512207. The reversal of 2531123512164 is 4612153211352.

2531123512164 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 123 + 512 + 16 + 4 = 666.

2531123512164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2531123512163) 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, 3517642 + ... + 4175649.

Almost surely, 22531123512164 is an apocalyptic number.

It is an amenable number.

2531123512164 is an abundant number, since it is smaller than the sum of its proper divisors (4917829533916).

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

2531123512164 is a wasteful number, since it uses less digits than its factorization.

2531123512164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7693370 (or 7693365 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The spelling of 2531123512164 in words is "two trillion, five hundred thirty-one billion, one hundred twenty-three million, five hundred twelve thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 37 38 39 52 57 74 76 78 111 114 117 148 156 171 222 228 234 247 333 342 444 468 481 494 666 684 703 741 962 988 1332 1406 1443 1482 1924 2109 2223 2812 2886 2964 4218 4329 4446 5772 6327 8436 8658 8892 9139 12654 17316 18278 25308 27417 36556 54834 82251 109668 164502 329004 7693291 15386582 23079873 30773164 46159746 69239619 92319492 100012783 138479238 146172529 200025566 276958476 284651767 292345058 300038349 400051132 438517587 569303534 584690116 600076698 853955301 877035174 900115047 1138607068 1200153396 1315552761 1707910602 1754070348 1800230094 1900242877 2561865903 2631105522 3415821204 3600460188 3700472971 3800485754 5123731806 5262211044 5408383573 5700728631 7400945942 7600971508 10247463612 10816767146 11101418913 11401457262 14801891884 16225150719 17102185893 21633534292 22202837826 22802914524 32450301438 33304256739 34204371786 44405675652 48675452157 64900602876 66608513478 68408743572 70308986449 97350904314 133217026956 140617972898 194701808628 210926959347 281235945796 421853918694 632780878041 843707837388 1265561756082 2531123512164