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2269759114272 = 2531317106983367
BaseRepresentation
bin100001000001111000001…
…011111000110000100000
322000222122102012201020110
4201001320023320300200
5244141431313124042
64454413555011320
7322661514066666
oct41017013706040
98028572181213
102269759114272
117a5665936041
12307a89899b40
13136064129b50
147bbdd5a0c36
153e09582e09c
hex210782f8c20

2269759114272 has 96 divisors (see below), whose sum is σ = 6793871801472. Its totient is φ = 657305800704.

The previous prime is 2269759114237. The next prime is 2269759114307. The reversal of 2269759114272 is 2724119579622.

It is an interprime number because it is at equal distance from previous prime (2269759114237) and next prime (2269759114307).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53470468 + ... + 53512899.

It is an arithmetic number, because the mean of its divisors is an integer number (70769497932).

Almost surely, 22269759114272 is an apocalyptic number.

It is an amenable number.

2269759114272 is an abundant number, since it is smaller than the sum of its proper divisors (4524112687200).

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

2269759114272 is a wasteful number, since it uses less digits than its factorization.

2269759114272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106983410 (or 106983402 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 57.

The spelling of 2269759114272 in words is "two trillion, two hundred sixty-nine billion, seven hundred fifty-nine million, one hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 816 884 1248 1326 1632 1768 2652 3536 5304 7072 10608 21216 106983367 213966734 320950101 427933468 641900202 855866936 1283800404 1390783771 1711733872 1818717239 2567600808 2781567542 3423467744 3637434478 4172351313 5135201616 5456151717 5563135084 7274868956 8344702626 10270403232 10912303434 11126270168 14549737912 16689405252 21824606868 22252540336 23643324107 29099475824 33378810504 43649213736 44505080672 47286648214 58198951648 66757621008 70929972321 87298427472 94573296428 133515242016 141859944642 174596854944 189146592856 283719889284 378293185712 567439778568 756586371424 1134879557136 2269759114272