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230533536435642 = 23311480178082629
BaseRepresentation
bin110100011010101101000101…
…100011000100110110111010
31010020020210100112020222101000
4310122231011203010312322
5220204030140311420032
62134145351122105430
766362332640623266
oct6432550543046672
91106223315228330
10230533536435642
11675007a6359310
1221a32b3aaab276
139b832b079694b
1440cdc501a30a6
151b9ba8dccce7c
hexd1ab458c4dba

230533536435642 has 64 divisors (see below), whose sum is σ = 558880887369600. Its totient is φ = 69857183888640.

The previous prime is 230533536435611. The next prime is 230533536435647. The reversal of 230533536435642 is 246534635335032.

230533536435642 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 3 + 3 + 5 + 36 + 43 + 564 + 2 = 666.

230533536435642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2305335364356422 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (230533536435647) 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, 24480784 + ... + 32563412.

It is an arithmetic number, because the mean of its divisors is an integer number (8732513865150).

Almost surely, 2230533536435642 is an apocalyptic number.

230533536435642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

230533536435642 is an abundant number, since it is smaller than the sum of its proper divisors (328347350933958).

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

230533536435642 is a wasteful number, since it uses less digits than its factorization.

230533536435642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8130668 (or 8130662 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 54.

The spelling of 230533536435642 in words is "two hundred thirty trillion, five hundred thirty-three billion, five hundred thirty-six million, four hundred thirty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 48017 96034 144051 288102 432153 528187 864306 1056374 1296459 1584561 2592918 3169122 4753683 8082629 9507366 14261049 16165258 24247887 28522098 48495774 72743661 88908919 145487322 177817838 218230983 266726757 436461966 533453514 800180271 1600360542 2400540813 4801081626 388103596693 776207193386 1164310790079 2328621580158 3492932370237 4269139563623 6985864740474 8538279127246 10478797110711 12807418690869 20957594221422 25614837381738 38422256072607 76844512145214 115266768217821 230533536435642