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10042760929 = 29346302101
BaseRepresentation
bin10010101101001100…
…00101111011100001
3221220220020010002111
421112212011323201
5131031421322204
64340311115321
7503604026245
oct112646057341
927826203074
1010042760929
114293970a23
121b43372b41
13c4080c8b6
146b3ad4425
153dba07d04
hex256985ee1

10042760929 has 4 divisors (see below), whose sum is σ = 10389063060. Its totient is φ = 9696458800.

The previous prime is 10042760911. The next prime is 10042760941. The reversal of 10042760929 is 92906724001.

10042760929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 3473334225 + 6569426704 = 58935^2 + 81052^2 .

It is a cyclic number.

It is not a de Polignac number, because 10042760929 - 225 = 10009206497 is a prime.

It is a super-3 number, since 3×100427609293 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10042760891 and 10042760900.

It is not an unprimeable number, because it can be changed into a prime (10042760029) 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 3 ways as a sum of consecutive naturals, for example, 173151022 + ... + 173151079.

It is an arithmetic number, because the mean of its divisors is an integer number (2597265765).

Almost surely, 210042760929 is an apocalyptic number.

It is an amenable number.

10042760929 is a deficient number, since it is larger than the sum of its proper divisors (346302131).

10042760929 is an equidigital number, since it uses as much as digits as its factorization.

10042760929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346302130.

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 10042760929 in words is "ten billion, forty-two million, seven hundred sixty thousand, nine hundred twenty-nine".

Divisors: 1 29 346302101 10042760929