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12066856832 = 271953179523
BaseRepresentation
bin10110011110011110…
…11001111110000000
31011010221220211200102
423033033121332000
5144203103404312
65313214341532
7605012406422
oct131717317600
934127824612
1012066856832
115132476158
1224091ba8a8
1311a3c72794
14826862812
154a9579ec2
hex2cf3d9f80

12066856832 has 128 divisors (see below), whose sum is σ = 25975728000. Its totient is φ = 5566040064.

The previous prime is 12066856799. The next prime is 12066856843. The reversal of 12066856832 is 23865866021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23072123 + ... + 23072645.

It is an arithmetic number, because the mean of its divisors is an integer number (202935375).

Almost surely, 212066856832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12066856832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12987864000).

12066856832 is an abundant number, since it is smaller than the sum of its proper divisors (13908871168).

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

12066856832 is a wasteful number, since it uses less digits than its factorization.

12066856832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 12066856832 in words is "twelve billion, sixty-six million, eight hundred fifty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 53 64 76 106 128 152 179 212 304 358 424 523 608 716 848 1007 1046 1216 1432 1696 2014 2092 2432 2864 3392 3401 4028 4184 5728 6784 6802 8056 8368 9487 9937 11456 13604 16112 16736 18974 19874 22912 27208 27719 32224 33472 37948 39748 54416 55438 64448 66944 75896 79496 93617 108832 110876 128896 151792 158992 180253 187234 217664 221752 303584 317984 360506 374468 435328 443504 526661 607168 635968 721012 748936 887008 1053322 1214336 1271936 1442024 1497872 1774016 1778723 2106644 2884048 2995744 3548032 3557446 4213288 4961701 5768096 5991488 7114892 8426576 9923402 11536192 11982976 14229784 16853152 19846804 23072384 28459568 33706304 39693608 56919136 67412608 79387216 94272319 113838272 158774432 188544638 227676544 317548864 377089276 635097728 754178552 1508357104 3016714208 6033428416 12066856832