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10768857408 = 263271263323
BaseRepresentation
bin10100000011101111…
…11011100101000000
31000210111111122012200
422001313323211000
5134023311414113
64540325553200
7530601530511
oct120167734500
930714448180
1010768857408
114626814a61
122106575800
13102808829a
14742302a08
15430632873
hex281dfb940

10768857408 has 84 divisors (see below), whose sum is σ = 31301850528. Its totient is φ = 3539047680.

The previous prime is 10768857397. The next prime is 10768857443. The reversal of 10768857408 is 80475886701.

It is a happy number.

10768857408 is a `hidden beast` number, since 1 + 0 + 7 + 68 + 8 + 574 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90766 + ... + 172557.

Almost surely, 210768857408 is an apocalyptic number.

10768857408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10768857408 is an abundant number, since it is smaller than the sum of its proper divisors (20532993120).

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

10768857408 is a wasteful number, since it uses less digits than its factorization.

10768857408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263412 (or 263399 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 10768857408 in words is "ten billion, seven hundred sixty-eight million, eight hundred fifty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 142 144 192 213 284 288 426 568 576 639 852 1136 1278 1704 2272 2556 3408 4544 5112 6816 10224 13632 20448 40896 263323 526646 789969 1053292 1579938 2106584 2369907 3159876 4213168 4739814 6319752 8426336 9479628 12639504 16852672 18695933 18959256 25279008 37391866 37918512 50558016 56087799 74783732 75837024 112175598 149567464 151674048 168263397 224351196 299134928 336526794 448702392 598269856 673053588 897404784 1196539712 1346107176 1794809568 2692214352 3589619136 5384428704 10768857408