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10676284256 = 2511231318711
BaseRepresentation
bin10011111000101101…
…10010101101100000
31000120001022102201102
421330112302231200
5133331112044011
64523221453532
7525365630111
oct117426625540
930501272642
1010676284256
114589536420
12209b5712a8
131011b45081
14733cc6208
1542744873b
hex27c5b2b60

10676284256 has 48 divisors (see below), whose sum is σ = 23926710528. Its totient is φ = 4641859200.

The previous prime is 10676284231. The next prime is 10676284261. The reversal of 10676284256 is 65248267601.

10676284256 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 2×106762842562 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10676284256.

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, 651260 + ... + 667451.

It is an arithmetic number, because the mean of its divisors is an integer number (498473136).

Almost surely, 210676284256 is an apocalyptic number.

10676284256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10676284256 is an abundant number, since it is smaller than the sum of its proper divisors (13250426272).

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

10676284256 is a wasteful number, since it uses less digits than its factorization.

10676284256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318755 (or 1318747 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 10676284256 in words is "ten billion, six hundred seventy-six million, two hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 8096 1318711 2637422 5274844 10549688 14505821 21099376 29011642 30330353 42198752 58023284 60660706 116046568 121321412 232093136 242642824 333633883 464186272 485285648 667267766 970571296 1334535532 2669071064 5338142128 10676284256