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12964118016 = 29337228113
BaseRepresentation
bin11000001001011100…
…01011111000000000
31020110111021102122010
430010232023320000
5203022303234031
65542230012520
7636156120303
oct140456137000
936414242563
1012964118016
1155529a7823
1226197a7140
1312b7b1a665
148adaa8b3a
1550d215246
hex304b8be00

12964118016 has 80 divisors (see below), whose sum is σ = 35470814544. Its totient is φ = 4204560384.

The previous prime is 12964117993. The next prime is 12964118017. The reversal of 12964118016 is 61081146921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12964118017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57225 + ... + 170888.

Almost surely, 212964118016 is an apocalyptic number.

12964118016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12964118016 is an abundant number, since it is smaller than the sum of its proper divisors (22506696528).

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

12964118016 is an equidigital number, since it uses as much as digits as its factorization.

12964118016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228171 (or 228155 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 12964118016 in words is "twelve billion, nine hundred sixty-four million, one hundred eighteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1184 1536 1776 2368 3552 4736 7104 9472 14208 18944 28416 56832 228113 456226 684339 912452 1368678 1824904 2737356 3649808 5474712 7299616 8440181 10949424 14599232 16880362 21898848 25320543 29198464 33760724 43797696 50641086 58396928 67521448 87595392 101282172 116793856 135042896 175190784 202564344 270085792 350381568 405128688 540171584 810257376 1080343168 1620514752 2160686336 3241029504 4321372672 6482059008 12964118016