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10344533679 = 331920164783
BaseRepresentation
bin10011010001001010…
…10000111010101111
3222200221001202111000
421220211100322233
5132141200034204
64430251131343
7514230041214
oct115045207257
928627052430
1010344533679
114429246297
122008443b53
13c8b1ab55c
14701c09b0b
15408267039
hex268950eaf

10344533679 has 16 divisors (see below), whose sum is σ = 16131827200. Its totient is φ = 6533389368.

The previous prime is 10344533657. The next prime is 10344533737. The reversal of 10344533679 is 97633544301.

10344533679 is a `hidden beast` number, since 1 + 0 + 3 + 44 + 533 + 6 + 79 = 666.

10344533679 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10344533679 - 215 = 10344500911 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344533579) 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 15 ways as a sum of consecutive naturals, for example, 10081879 + ... + 10082904.

It is an arithmetic number, because the mean of its divisors is an integer number (1008239200).

Almost surely, 210344533679 is an apocalyptic number.

10344533679 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10344533679 is a deficient number, since it is larger than the sum of its proper divisors (5787293521).

10344533679 is a wasteful number, since it uses less digits than its factorization.

10344533679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20164811 (or 20164805 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 10344533679 in words is "ten billion, three hundred forty-four million, five hundred thirty-three thousand, six hundred seventy-nine".

Divisors: 1 3 9 19 27 57 171 513 20164783 60494349 181483047 383130877 544449141 1149392631 3448177893 10344533679