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12969867672 = 2332974793877
BaseRepresentation
bin11000001010001000…
…00111100110011000
31020110220002112200100
430011010013212120
5203030241231142
65542553135400
7636256025166
oct140504074630
936426075610
1012969867672
115556174603
12261b6ba560
1312b9081718
148b0764236
1550d99db4c
hex305107998

12969867672 has 96 divisors (see below), whose sum is σ = 35572118400. Its totient is φ = 4268685312.

The previous prime is 12969867671. The next prime is 12969867683. The reversal of 12969867672 is 27676896921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12969867671) 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 23 ways as a sum of consecutive naturals, for example, 3343398 + ... + 3347274.

It is an arithmetic number, because the mean of its divisors is an integer number (370542900).

Almost surely, 212969867672 is an apocalyptic number.

12969867672 is a gapful number since it is divisible by the number (12) 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 12969867672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17786059200).

12969867672 is an abundant number, since it is smaller than the sum of its proper divisors (22602250728).

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

12969867672 is a wasteful number, since it uses less digits than its factorization.

12969867672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4458 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 12969867672 in words is "twelve billion, nine hundred sixty-nine million, eight hundred sixty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 479 582 776 873 958 1164 1437 1746 1916 2328 2874 3492 3832 3877 4311 5748 6984 7754 8622 11496 11631 15508 17244 23262 31016 34488 34893 46463 46524 69786 92926 93048 139389 139572 185852 278778 279144 371704 376069 418167 557556 752138 836334 1115112 1128207 1504276 1672668 1857083 2256414 3008552 3345336 3384621 3714166 4512828 5571249 6769242 7428332 9025656 11142498 13538484 14856664 16713747 22284996 27076968 33427494 44569992 66854988 133709976 180137051 360274102 540411153 720548204 1080822306 1441096408 1621233459 2161644612 3242466918 4323289224 6484933836 12969867672