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268534820232 = 233271731341599
BaseRepresentation
bin1111101000010111101…
…1000010110110001000
3221200010122122021120200
43322011323002312020
513344424403221412
6323210241052200
725254354211350
oct3720573026610
9850118567520
10268534820232
11a39809a5aa8
1244063927060
131c427046543
14cdd6299b60
156eba1179dc
hex3e85ec2d88

268534820232 has 96 divisors (see below), whose sum is σ = 880072128000. Its totient is φ = 72211041792.

The previous prime is 268534820209. The next prime is 268534820263. The reversal of 268534820232 is 232028435862.

It is a happy number.

268534820232 is a `hidden beast` number, since 2 + 6 + 8 + 534 + 82 + 0 + 2 + 32 = 666.

268534820232 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 2×2685348202322 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15662232 + ... + 15679367.

It is an arithmetic number, because the mean of its divisors is an integer number (9167418000).

Almost surely, 2268534820232 is an apocalyptic number.

It is an amenable number.

268534820232 is an abundant number, since it is smaller than the sum of its proper divisors (611537307768).

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

268534820232 is a wasteful number, since it uses less digits than its factorization.

268534820232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31341635 (or 31341628 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 268534820232 in words is "two hundred sixty-eight billion, five hundred thirty-four million, eight hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 31341599 62683198 94024797 125366396 188049594 219391193 250732792 282074391 376099188 438782386 532807183 564148782 658173579 752198376 877564772 1065614366 1128297564 1316347158 1598421549 1755129544 1974520737 2131228732 2256595128 2632694316 3196843098 3729650281 3949041474 4262457464 4795264647 5265388632 6393686196 7459300562 7898082948 9590529294 11188950843 12787372392 14918601124 15796165896 19181058588 22377901686 29837202248 33566852529 38362117176 44755803372 67133705058 89511606744 134267410116 268534820232