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230689568657256 = 23361974463363989
BaseRepresentation
bin110100011100111110011001…
…110010110000111101101000
31010020210201002200102002122220
4310130332121302300331220
5220214104214034013011
62134345154054114040
766406525364623422
oct6434763162607550
91106721080362586
10230689568657256
1167560995495885
1221a5922594b920
139b94c189b40b7
1440d7612b4d812
151ba0b7225c506
hexd1cf99cb0f68

230689568657256 has 128 divisors (see below), whose sum is σ = 592355811801600. Its totient is φ = 74839194132480.

The previous prime is 230689568657203. The next prime is 230689568657257. The reversal of 230689568657256 is 652756865986032.

It is not an unprimeable number, because it can be changed into a prime (230689568657257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633599710 + ... + 633963698.

It is an arithmetic number, because the mean of its divisors is an integer number (4627779779700).

Almost surely, 2230689568657256 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 230689568657256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296177905900800).

230689568657256 is an abundant number, since it is smaller than the sum of its proper divisors (361666243144344).

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

230689568657256 is a wasteful number, since it uses less digits than its factorization.

230689568657256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368619 (or 368615 counting only the distinct ones).

The product of its (nonzero) digits is 7838208000, while the sum is 78.

The spelling of 230689568657256 in words is "two hundred thirty trillion, six hundred eighty-nine billion, five hundred sixty-eight million, six hundred fifty-seven thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 61 97 122 183 194 244 291 366 388 488 582 732 776 1164 1464 2328 4463 5917 8926 11834 13389 17751 17852 23668 26778 35502 35704 47336 53556 71004 107112 142008 272243 363989 432911 544486 727978 816729 865822 1088972 1091967 1298733 1455956 1633458 1731644 2177944 2183934 2597466 2911912 3266916 3463288 4367868 5194932 6533832 8735736 10389864 22203329 26407571 35306933 44406658 52815142 66609987 70613866 79222713 88813316 105630284 105920799 133219974 141227732 158445426 177626632 211260568 211841598 266439948 282455464 316890852 423683196 532879896 633781704 847366392 1624482907 2153722913 3248965814 4307445826 4873448721 6461168739 6497931628 8614891652 9746897442 12922337478 12995863256 17229783304 19493794884 25844674956 38987589768 51689349912 99093457327 157574841979 198186914654 297280371981 315149683958 396373829308 472724525937 594560743962 630299367916 792747658616 945449051874 1189121487924 1260598735832 1890898103748 2378242975848 3781796207496 9612065360719 19224130721438 28836196082157 38448261442876 57672392164314 76896522885752 115344784328628 230689568657256