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23011760256 = 273891494519
BaseRepresentation
bin10101011011100110…
…111001100010000000
32012101201200112121220
4111123212321202000
5334112002312011
614323233515040
71443152510022
oct253346714200
965351615556
1023011760256
1198395a2091
124562712a80
132229648cb4
1411842b0012
158ea384506
hex55b9b9880

23011760256 has 128 divisors (see below), whose sum is σ = 62240400000. Its totient is φ = 7531831296.

The previous prime is 23011760243. The next prime is 23011760281. The reversal of 23011760256 is 65206711032.

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

It is a super-2 number, since 2×230117602562 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5089965 + ... + 5094483.

It is an arithmetic number, because the mean of its divisors is an integer number (486253125).

Almost surely, 223011760256 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 23011760256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31120200000).

23011760256 is an abundant number, since it is smaller than the sum of its proper divisors (39228639744).

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

23011760256 is a wasteful number, since it uses less digits than its factorization.

23011760256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4774 (or 4762 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 23011760256 in words is "twenty-three billion, eleven million, seven hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 149 178 192 267 298 356 384 447 534 596 712 894 1068 1192 1424 1788 2136 2384 2848 3576 4272 4519 4768 5696 7152 8544 9038 9536 11392 13261 13557 14304 17088 18076 19072 26522 27114 28608 34176 36152 39783 53044 54228 57216 72304 79566 106088 108456 144608 159132 212176 216912 289216 318264 402191 424352 433824 578432 636528 673331 804382 848704 867648 1206573 1273056 1346662 1608764 1697408 1735296 2019993 2413146 2546112 2693324 3217528 4039986 4826292 5092224 5386648 6435056 8079972 9652584 10773296 12870112 16159944 19305168 21546592 25740224 32319888 38610336 43093184 51480448 59926459 64639776 77220672 86186368 119852918 129279552 154441344 179779377 239705836 258559104 359558754 479411672 719117508 958823344 1438235016 1917646688 2876470032 3835293376 5752940064 7670586752 11505880128 23011760256