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12908811402864 = 2433133762123717
BaseRepresentation
bin1011101111011001000100…
…0111100011111001110000
31200201001220021001211102000
42323312101013203321300
53142444221204342424
643242120500254000
72501426244331146
oct273662107437160
950631807054360
1012908811402864
114127661561023
1215459929a1300
137283ac834c30
14328b0b325596
15175bc3cc33c9
hexbbd911e3e70

12908811402864 has 160 divisors (see below), whose sum is σ = 40981774290240. Its totient is φ = 3864592124928.

The previous prime is 12908811402857. The next prime is 12908811402913. The reversal of 12908811402864 is 46820411880921.

12908811402864 is a `hidden beast` number, since 1 + 2 + 90 + 88 + 11 + 402 + 8 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12908811402864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30854067 + ... + 31269650.

It is an arithmetic number, because the mean of its divisors is an integer number (256136089314).

Almost surely, 212908811402864 is an apocalyptic number.

It is an amenable number.

12908811402864 is an abundant number, since it is smaller than the sum of its proper divisors (28072962887376).

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

12908811402864 is a wasteful number, since it uses less digits than its factorization.

12908811402864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62123784 (or 62123772 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 12908811402864 in words is "twelve trillion, nine hundred eight billion, eight hundred eleven million, four hundred two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 37 39 48 52 54 72 74 78 104 108 111 117 144 148 156 208 216 222 234 296 312 333 351 432 444 468 481 592 624 666 702 888 936 962 999 1332 1404 1443 1776 1872 1924 1998 2664 2808 2886 3848 3996 4329 5328 5616 5772 7696 7992 8658 11544 12987 15984 17316 23088 25974 34632 51948 69264 103896 207792 62123717 124247434 186371151 248494868 372742302 496989736 559113453 745484604 807608321 993979472 1118226906 1490969208 1615216642 1677340359 2236453812 2298577529 2422824963 2981938416 3230433284 3354680718 4472907624 4597155058 4845649926 6460866568 6709361436 6895732587 7268474889 8945815248 9194310116 9691299852 12921733136 13418722872 13791465174 14536949778 18388620232 19382599704 20687197761 21805424667 26837445744 27582930348 29073899556 29881507877 36777240464 38765199408 41374395522 43610849334 55165860696 58147799112 59763015754 62061593283 82748791044 87221698668 89644523631 110331721392 116295598224 119526031508 124123186566 165497582088 174443397336 179289047262 239052063016 248246373132 268933570893 330995164176 348886794672 358578094524 478104126032 496492746264 537867141786 717156189048 806800712679 992985492528 1075734283572 1434312378096 1613601425358 2151468567144 3227202850716 4302937134288 6454405701432 12908811402864