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12699000028 = 221113223411811
BaseRepresentation
bin10111101001110101…
…10101110011011100
31012210000102001010101
423310322311303130
5202001421000103
65500035350444
7626456501461
oct136472656334
935700361111
1012699000028
115427288750
122564a52424
131274c13a00
148867b5668
154e4ce6a1d
hex2f4eb5cdc

12699000028 has 144 divisors (see below), whose sum is σ = 28076896512. Its totient is φ = 4969536000.

The previous prime is 12699000023. The next prime is 12699000059. The reversal of 12699000028 is 82000099621.

12699000028 is a nontrivial binomial coefficient, being equal to C(159368, 2).

It is a super-2 number, since 2×126990000282 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12699000023) 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, 7011243 + ... + 7013053.

It is an arithmetic number, because the mean of its divisors is an integer number (194978448).

Almost surely, 212699000028 is an apocalyptic number.

12699000028 is the 159367-th triangular number and also the 79684-th hexagonal number.

12699000028 is the 53123-rd centered nonagonal number.

It is an amenable number.

12699000028 is an abundant number, since it is smaller than the sum of its proper divisors (15377896484).

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

12699000028 is a wasteful number, since it uses less digits than its factorization.

12699000028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

Adding to 12699000028 its reverse (82000099621), we get a palindrome (94699099649).

The spelling of 12699000028 in words is "twelve billion, six hundred ninety-nine million, twenty-eight", and thus it is an aban number.

Divisors: 1 2 4 11 13 22 23 26 41 44 46 52 82 92 143 164 169 253 286 299 338 451 506 533 572 598 676 902 943 1012 1066 1196 1804 1811 1859 1886 2132 3289 3622 3718 3772 3887 5863 6578 6929 7244 7436 7774 10373 11726 12259 13156 13858 15548 19921 20746 23452 23543 24518 27716 39842 41492 41653 42757 47086 49036 74251 76219 79684 83306 85514 94172 134849 148502 152438 159367 166612 171028 258973 269698 297004 304876 306059 318734 458183 517946 539396 541489 612118 637468 816761 916366 965263 1035892 1082978 1224236 1633522 1707773 1753037 1832732 1930526 2165956 3267044 3366649 3415546 3506074 3861052 5956379 6733298 6831092 7012148 7039357 10617893 11912758 12548419 13466596 14078714 18785503 21235786 22201049 23825516 25096838 28157428 37571006 42471572 44402098 50193676 75142012 77432927 88804196 138032609 154865854 244211539 276065218 288613637 309731708 488423078 552130436 577227274 976846156 1154454548 3174750007 6349500014 12699000028