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12678079968 = 253253830587
BaseRepresentation
bin10111100111010110…
…00010010111100000
31012201120001012012100
423303223002113200
5201431042024333
65454011130400
7626113621161
oct136353022740
935646035170
1012678079968
11541649a144
122559a43a00
13127079a888
14883acb768
154e3063213
hex2f3ac25e0

12678079968 has 72 divisors (see below), whose sum is σ = 36733584888. Its totient is φ = 4146285312.

The previous prime is 12678079937. The next prime is 12678079969. The reversal of 12678079968 is 86997087621.

12678079968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12678079969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400030 + ... + 430557.

It is an arithmetic number, because the mean of its divisors is an integer number (510188679).

Almost surely, 212678079968 is an apocalyptic number.

12678079968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12678079968 is an abundant number, since it is smaller than the sum of its proper divisors (24055504920).

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

12678079968 is a wasteful number, since it uses less digits than its factorization.

12678079968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830656 (or 830645 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 12678079968 in words is "twelve billion, six hundred seventy-eight million, seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 15264 830587 1661174 2491761 3322348 4983522 6644696 7475283 9967044 13289392 14950566 19934088 26578784 29901132 39868176 44021111 59802264 79736352 88042222 119604528 132063333 176084444 239209056 264126666 352168888 396189999 528253332 704337776 792379998 1056506664 1408675552 1584759996 2113013328 3169519992 4226026656 6339039984 12678079968