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10763809856 = 26533173293
BaseRepresentation
bin10100000011001001…
…01011010001000000
31000210011000012021022
422001210223101000
5134021013403411
64540025445012
7530510605562
oct120144532100
930704005238
1010763809856
114623987728
122104940768
13102700b977
1474178b332
1542ee86edb
hex28192b440

10763809856 has 28 divisors (see below), whose sum is σ = 21762450252. Its totient is φ = 5280357888.

The previous prime is 10763809843. The next prime is 10763809877. The reversal of 10763809856 is 65890836701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2666689600 + 8097120256 = 51640^2 + 89984^2 .

It is a super-2 number, since 2×107638098562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a junction number, because it is equal to n+sod(n) for n = 10763809798 and 10763809807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1583255 + ... + 1590038.

Almost surely, 210763809856 is an apocalyptic number.

10763809856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10763809856 is an abundant number, since it is smaller than the sum of its proper divisors (10998640396).

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

10763809856 is an equidigital number, since it uses as much as digits as its factorization.

10763809856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173358 (or 3173348 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 10763809856 in words is "ten billion, seven hundred sixty-three million, eight hundred nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 3392 3173293 6346586 12693172 25386344 50772688 101545376 168184529 203090752 336369058 672738116 1345476232 2690952464 5381904928 10763809856