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76468261760 = 2751110861969
BaseRepresentation
bin100011100110111011…
…1010001001110000000
321022101012112011220222
41013031313101032000
52223101333334020
655043512122212
75344645333442
oct1071567211600
9238335464828
1076468261760
112a480381950
12129a1096368
137298535287
1439b5ab8492
151ec83e2b25
hex11cddd1380

76468261760 has 64 divisors (see below), whose sum is σ = 199425769200. Its totient is φ = 27806638080.

The previous prime is 76468261729. The next prime is 76468261789. The reversal of 76468261760 is 6716286467.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5423945 + ... + 5438024.

Almost surely, 276468261760 is an apocalyptic number.

It is an amenable number.

76468261760 is an abundant number, since it is smaller than the sum of its proper divisors (122957507440).

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

76468261760 is a wasteful number, since it uses less digits than its factorization.

76468261760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10861999 (or 10861987 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 53.

The spelling of 76468261760 in words is "seventy-six billion, four hundred sixty-eight million, two hundred sixty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 10861969 21723938 43447876 54309845 86895752 108619690 119481659 173791504 217239380 238963318 347583008 434478760 477926636 597408295 695166016 868957520 955853272 1194816590 1390332032 1737915040 1911706544 2389633180 3475830080 3823413088 4779266360 6951660160 7646826176 9558532720 15293652352 19117065440 38234130880 76468261760