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12791094627 = 31722321672
BaseRepresentation
bin10111110100110100…
…01001110101100011
31020000102200221011110
423322122021311203
5202144010012002
65513125314403
7631655340033
oct137232116543
936012627143
1012791094627
11547426a793
12258b865a03
13128b01a15c
14894b098c3
154ece38e6c
hex2fa689d63

12791094627 has 54 divisors (see below), whose sum is σ = 19053059788. Its totient is φ = 7630868608.

The previous prime is 12791094623. The next prime is 12791094647. The reversal of 12791094627 is 72649019721.

It is not a de Polignac number, because 12791094627 - 22 = 12791094623 is a prime.

It is a super-3 number, since 3×127910946273 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12791094623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 76593298 + ... + 76593464.

Almost surely, 212791094627 is an apocalyptic number.

12791094627 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12791094627 is a deficient number, since it is larger than the sum of its proper divisors (6261965161).

12791094627 is an equidigital number, since it uses as much as digits as its factorization.

12791094627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

Multiplying 12791094627 by its sum of digits (48), we get a square (613972542096 = 7835642).

The spelling of 12791094627 in words is "twelve billion, seven hundred ninety-one million, ninety-four thousand, six hundred twenty-seven".

Divisors: 1 3 17 23 51 69 167 289 391 501 529 867 1173 1587 2839 3841 6647 8517 8993 11523 19941 26979 27889 48263 65297 83667 88343 144789 152881 195891 265029 458643 474113 641447 1110049 1422339 1501831 1924341 3330147 4505493 8059921 10904599 14753281 24179763 25531127 32713797 44259843 76593381 185378183 250805777 556134549 752417331 4263698209 12791094627