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12804636460 = 22571172711437
BaseRepresentation
bin10111110110011011…
…10011111100101100
31020001101011221001211
423323031303330230
5202210441331320
65514331444204
7632211420430
oct137315637454
936041157054
1012804636460
115480979990
1225942b6664
131290a7bb85
148968329c0
154ee21155a
hex2fb373f2c

12804636460 has 96 divisors (see below), whose sum is σ = 33573915648. Its totient is φ = 3985217280.

The previous prime is 12804636437. The next prime is 12804636473. The reversal of 12804636460 is 6463640821.

It is a super-2 number, since 2×128046364602 (a number of 21 digits) contains 22 as substring.

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, 1113862 + ... + 1125298.

It is an arithmetic number, because the mean of its divisors is an integer number (349728288).

Almost surely, 212804636460 is an apocalyptic number.

12804636460 is a gapful number since it is divisible by the number (10) 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 12804636460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16786957824).

12804636460 is an abundant number, since it is smaller than the sum of its proper divisors (20769279188).

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

12804636460 is a wasteful number, since it uses less digits than its factorization.

12804636460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12191 (or 12189 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 12804636460 in words is "twelve billion, eight hundred four million, six hundred thirty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 727 770 1454 1540 2908 3635 5089 7270 7997 10178 11437 14540 15994 20356 22874 25445 31988 39985 45748 50890 55979 57185 79970 80059 101780 111958 114370 125807 159940 160118 223916 228740 251614 279895 320236 400295 503228 559790 629035 800590 880649 1119580 1258070 1601180 1761298 2516140 3522596 4403245 8314699 8806490 16629398 17612980 33258796 41573495 58202893 83146990 91461689 116405786 166293980 182923378 232811572 291014465 365846756 457308445 582028930 640231823 914616890 1164057860 1280463646 1829233780 2560927292 3201159115 6402318230 12804636460