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268146730388088 = 233331102139222143
BaseRepresentation
bin111100111110000011000110…
…100111001100101001111000
31022011102120120200111222221000
4330332003012213030221320
5240121304000434404323
62350144523553245000
7110323650644224506
oct7476030647145170
91264376520458830
10268146730388088
1178492431807a32
12260a8771563760
13b6811887ab166
144a3052a041676
1521001a25d7e43
hexf3e0c69cca78

268146730388088 has 128 divisors (see below), whose sum is σ = 769632598425600. Its totient is φ = 86414223254400.

The previous prime is 268146730388029. The next prime is 268146730388113. The reversal of 268146730388088 is 880883037641862.

268146730388088 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 467 + 3 + 0 + 3 + 8 + 80 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 12774456 + ... + 26447687.

It is an arithmetic number, because the mean of its divisors is an integer number (6012754675200).

Almost surely, 2268146730388088 is an apocalyptic number.

It is an amenable number.

268146730388088 is an abundant number, since it is smaller than the sum of its proper divisors (501485868037512).

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

268146730388088 is a wasteful number, since it uses less digits than its factorization.

268146730388088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39223210 (or 39223200 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 268146730388088 in words is "two hundred sixty-eight trillion, one hundred forty-six billion, seven hundred thirty million, three hundred eighty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1021 1116 1674 2042 2232 3063 3348 4084 6126 6696 8168 9189 12252 18378 24504 27567 31651 36756 55134 63302 73512 94953 110268 126604 189906 220536 253208 284859 379812 569718 759624 854577 1139436 1709154 2278872 3418308 6836616 39222143 78444286 117666429 156888572 235332858 313777144 352999287 470665716 705998574 941331432 1058997861 1215886433 1411997148 2117995722 2431772866 2823994296 3647659299 4235991444 4863545732 7295318598 8471982888 9727091464 10942977897 14590637196 21885955794 29181274392 32828933691 40045808003 43771911588 65657867382 80091616006 87543823176 120137424009 131315734764 160183232012 240274848018 262631469528 320366464024 360412272027 480549696036 720824544054 961099392072 1081236816081 1241420048093 1441649088108 2162473632162 2482840096186 2883298176216 3724260144279 4324947264324 4965680192372 7448520288558 8649894528648 9931360384744 11172780432837 14897040577116 22345560865674 29794081154232 33518341298511 44691121731348 67036682597022 89382243462696 134073365194044 268146730388088