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12682423072 = 2511415771523
BaseRepresentation
bin10111100111110111…
…00110101100100000
31012201212012211211001
423303323212230200
5201433200014242
65454244201344
7626165550244
oct136373465440
935655184731
1012682423072
115418996190
12255b399254
13127165b667
148844dc424
154e361eeb7
hex2f3ee6b20

12682423072 has 96 divisors (see below), whose sum is σ = 27969447744. Its totient is φ = 5610700800.

The previous prime is 12682423049. The next prime is 12682423087. The reversal of 12682423072 is 27032428621.

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, 8326503 + ... + 8328025.

It is an arithmetic number, because the mean of its divisors is an integer number (291348414).

Almost surely, 212682423072 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 12682423072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13984723872).

12682423072 is an abundant number, since it is smaller than the sum of its proper divisors (15287024672).

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

12682423072 is a wasteful number, since it uses less digits than its factorization.

12682423072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 12682423072 in words is "twelve billion, six hundred eighty-two million, four hundred twenty-three thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 577 656 902 1154 1312 1523 1804 2308 3046 3608 4616 6092 6347 7216 9232 12184 12694 14432 16753 18464 23657 24368 25388 33506 47314 48736 50776 62443 67012 94628 101552 124886 134024 189256 203104 249772 260227 268048 378512 499544 520454 536096 686873 757024 878771 999088 1040908 1373746 1757542 1998176 2081816 2747492 3515084 4163632 5494984 7030168 8327264 9666481 10989968 14060336 19332962 21979936 28120672 36029611 38665924 72059222 77331848 144118444 154663696 288236888 309327392 396325721 576473776 792651442 1152947552 1585302884 3170605768 6341211536 12682423072