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10365683344 = 24254532
BaseRepresentation
bin10011010011101011…
…11100011010010000
3222202101212021100221
421221311330122100
5132212103331334
64432324322424
7514604566102
oct115165743220
928671767327
1010365683344
11443a181355
122013543414
13c926a5053
14704953572
1540a0438b4
hex269d7c690

10365683344 has 15 divisors (see below), whose sum is σ = 20084300553. Its totient is φ = 5182638048.

The previous prime is 10365683327. The next prime is 10365683347. The reversal of 10365683344 is 44338656301.

The square root of 10365683344 is 101812.

It is a perfect power (a square), and thus also a powerful number.

10365683344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5049523600 + 5316159744 = 71060^2 + 72912^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10365683344.

It is not an unprimeable number, because it can be changed into a prime (10365683347) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 394522 + ... + 419974.

Almost surely, 210365683344 is an apocalyptic number.

10365683344 is the 101812-nd square number.

It is an amenable number.

10365683344 is a deficient number, since it is larger than the sum of its proper divisors (9718617209).

10365683344 is an frugal number, since it uses more digits than its factorization.

10365683344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50914 (or 25455 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 10365683344 in words is "ten billion, three hundred sixty-five million, six hundred eighty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 25453 50906 101812 203624 407248 647855209 1295710418 2591420836 5182841672 10365683344