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268382657115204 = 2232274911405114281
BaseRepresentation
bin111101000001011110110100…
…111100001111010001000100
31022012021010112211021111222020
4331001132310330033101010
5240134140140210141304
62350445142434003140
7110350002302301252
oct7501366474172104
91265233484244866
10268382657115204
117857349a246a45
1226126434a164b0
13b69a4b7014a38
144a3bb0b7455d2
1521063aeb485d9
hexf417b4f0f444

268382657115204 has 96 divisors (see below), whose sum is σ = 630354925896192. Its totient is φ = 88872836640000.

The previous prime is 268382657115187. The next prime is 268382657115257. The reversal of 268382657115204 is 402511756283862.

It is a happy number.

268382657115204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 18792980544 + ... + 18792994824.

It is an arithmetic number, because the mean of its divisors is an integer number (6566197144752).

Almost surely, 2268382657115204 is an apocalyptic number.

It is an amenable number.

268382657115204 is an abundant number, since it is smaller than the sum of its proper divisors (361972268780988).

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

268382657115204 is a wasteful number, since it uses less digits than its factorization.

268382657115204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29057 (or 29055 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 268382657115204 in words is "two hundred sixty-eight trillion, three hundred eighty-two billion, six hundred fifty-seven million, one hundred fifteen thousand, two hundred four".

Divisors: 1 2 3 4 6 12 227 454 491 681 908 982 1362 1473 1964 2724 2946 5892 14051 14281 28102 28562 42153 42843 56204 57124 84306 85686 111457 168612 171372 222914 334371 445828 668742 1337484 3189577 3241787 6379154 6483574 6899041 7011971 9568731 9725361 12758308 12967148 13798082 14023942 19137462 19450722 20697123 21035913 27596164 28047884 38274924 38901444 41394246 42071826 82788492 84143652 200662331 401324662 601986993 802649324 1203973986 1566082307 1591717417 2407947972 3132164614 3183434834 4698246921 4775152251 6264329228 6366869668 9396493842 9550304502 18792987684 19100609004 45550349137 91100698274 98525204521 136651047411 182201396548 197050409042 273302094822 295575613563 394100818084 546604189644 591151227126 1182302454252 22365221426267 44730442852534 67095664278801 89460885705068 134191328557602 268382657115204