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12882636117 = 3313314167431
BaseRepresentation
bin10111111111101110…
…10110110101010101
31020020210221201111000
423333313112311111
5202340423323432
65530155333513
7634146412611
oct137767266525
936223851430
1012882636117
115510a0420a
1225b6451299
1312a3c8b910
148a2d38341
15505ebc57c
hex2ffdd6d55

12882636117 has 128 divisors (see below), whose sum is σ = 22109552640. Its totient is φ = 7356096000.

The previous prime is 12882636103. The next prime is 12882636131. The reversal of 12882636117 is 71163628821.

12882636117 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 2 + 636 + 1 + 1 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (12882636103) and next prime (12882636131).

It is not a de Polignac number, because 12882636117 - 28 = 12882635861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12882636517) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29889892 + ... + 29890322.

It is an arithmetic number, because the mean of its divisors is an integer number (172730880).

Almost surely, 212882636117 is an apocalyptic number.

It is an amenable number.

12882636117 is a deficient number, since it is larger than the sum of its proper divisors (9226916523).

12882636117 is a wasteful number, since it uses less digits than its factorization.

12882636117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 586 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 12882636117 in words is "twelve billion, eight hundred eighty-two million, six hundred thirty-six thousand, one hundred seventeen".

Divisors: 1 3 9 13 27 31 39 41 67 93 117 123 201 279 351 369 403 431 533 603 837 871 1107 1209 1271 1293 1599 1809 2077 2613 2747 3627 3813 3879 4797 5603 6231 7839 8241 10881 11439 11637 13361 14391 16523 16809 17671 18693 23517 24723 27001 28877 34317 35711 40083 49569 50427 53013 56079 74169 81003 85157 86631 107133 120249 148707 151281 159039 173693 229723 243009 255471 259893 321399 360747 375401 446121 477117 521079 547801 689169 729027 766413 779679 895187 964197 1107041 1126203 1183957 1563237 1643403 2067507 2299239 2685561 3321123 3378609 3551871 4689711 4930209 6202521 7121413 8056683 9963369 10135827 10655613 11637431 14790627 15391441 21364239 24170049 29890107 31966839 34912293 36702667 46174323 64092717 104736879 110108001 138522969 192278151 314210637 330324003 415568907 477134671 990972009 1431404013 4294212039 12882636117