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12799097136 = 24327437019
BaseRepresentation
bin10111110101110001…
…01011100100110000
31020000222202111112200
423322320223210300
5202203032102021
65514013023200
7632113350000
oct137270534460
936028674480
1012799097136
115478836131
122592484b00
13128c88c777
14895bd0000
154ed9ba126
hex2fae2b930

12799097136 has 150 divisors (see below), whose sum is σ = 41788287060. Its totient is φ = 3656786112.

The previous prime is 12799097119. The next prime is 12799097161. The reversal of 12799097136 is 63179099721.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 327235 + ... + 364253.

Almost surely, 212799097136 is an apocalyptic number.

12799097136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12799097136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20894143530).

12799097136 is an abundant number, since it is smaller than the sum of its proper divisors (28989189924).

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

12799097136 is an equidigital number, since it uses as much as digits as its factorization.

12799097136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37061 (or 37031 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 12799097136 in words is "twelve billion, seven hundred ninety-nine million, ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1176 1372 1764 2058 2352 2401 2744 3087 3528 4116 4802 5488 6174 7056 7203 8232 9604 12348 14406 16464 19208 21609 24696 28812 37019 38416 43218 49392 57624 74038 86436 111057 115248 148076 172872 222114 259133 296152 333171 345744 444228 518266 592304 666342 777399 888456 1036532 1332684 1554798 1776912 1813931 2073064 2332197 2665368 3109596 3627862 4146128 4664394 5330736 5441793 6219192 7255724 9328788 10883586 12438384 12697517 14511448 16325379 18657576 21767172 25395034 29022896 32650758 37315152 38092551 43534344 50790068 65301516 76185102 87068688 88882619 101580136 114277653 130603032 152370204 177765238 203160272 228555306 261206064 266647857 304740408 355530476 457110612 533295714 609480816 711060952 799943571 914221224 1066591428 1422121904 1599887142 1828442448 2133182856 3199774284 4266365712 6399548568 12799097136