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10826756676 = 2233412445067
BaseRepresentation
bin10100001010101001…
…10011001001000100
31000221112110020002000
422011110303021010
5134133122203201
64550154545300
7532203625161
oct120524631104
930845406060
1010826756676
11465647059a
122121a38230
13103707acc8
14749c95068
1543576cd86
hex285533244

10826756676 has 48 divisors (see below), whose sum is σ = 28753999680. Its totient is φ = 3520895040.

The previous prime is 10826756671. The next prime is 10826756713. The reversal of 10826756676 is 67665762801.

10826756676 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 6 + 7 + 566 + 76 = 666.

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 (10826756671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1218106 + ... + 1226961.

It is an arithmetic number, because the mean of its divisors is an integer number (599041660).

Almost surely, 210826756676 is an apocalyptic number.

It is an amenable number.

10826756676 is an abundant number, since it is smaller than the sum of its proper divisors (17927243004).

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

10826756676 is a wasteful number, since it uses less digits than its factorization.

10826756676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445121 (or 2445113 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 10826756676 in words is "ten billion, eight hundred twenty-six million, seven hundred fifty-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 2445067 4890134 7335201 9780268 14670402 22005603 29340804 44011206 66016809 88022412 100247747 132033618 200495494 264067236 300743241 400990988 601486482 902229723 1202972964 1804459446 2706689169 3608918892 5413378338 10826756676