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12814646796 = 223572269057
BaseRepresentation
bin10111110111100111…
…11111111000001100
31020002002000111200000
423323303333320030
5202221022144141
65515330204300
7632362462200
oct137363777014
936062014600
1012814646796
115486596896
122597723690
131292b75353
14897cbab00
1550003c5b6
hex2fbcffe0c

12814646796 has 108 divisors (see below), whose sum is σ = 39076907688. Its totient is φ = 3661314048.

The previous prime is 12814646783. The next prime is 12814646821. The reversal of 12814646796 is 69764641821.

12814646796 is a `hidden beast` number, since 12 + 81 + 4 + 6 + 467 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86901 + ... + 182156.

Almost surely, 212814646796 is an apocalyptic number.

It is an amenable number.

12814646796 is an abundant number, since it is smaller than the sum of its proper divisors (26262260892).

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

12814646796 is a wasteful number, since it uses less digits than its factorization.

12814646796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269090 (or 269069 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 12814646796 in words is "twelve billion, eight hundred fourteen million, six hundred forty-six thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 756 882 972 1134 1323 1701 1764 2268 2646 3402 3969 5292 6804 7938 11907 15876 23814 47628 269057 538114 807171 1076228 1614342 1883399 2421513 3228684 3766798 4843026 5650197 7264539 7533596 9686052 11300394 13183793 14529078 16950591 21793617 22600788 26367586 29058156 33901182 39551379 43587234 50851773 52735172 65380851 67802364 79102758 87174468 101703546 118654137 130761702 152555319 158205516 203407092 237308274 261523404 305110638 355962411 457665957 474616548 610221276 711924822 915331914 1067887233 1423849644 1830663828 2135774466 3203661699 4271548932 6407323398 12814646796