10382807729 has 16 divisors (see below), whose sum is σ = 12521122560. Its totient is φ = 8416953600.

The previous prime is 10382807723. The next prime is 10382807789. The reversal of 10382807729 is 92770828301.

10382807729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10382807729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10382807723) 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, 347972 + ... + 376629.

It is an arithmetic number, because the mean of its divisors is an integer number (782570160).

Almost surely, 2^10382807729 is an apocalyptic number.

It is an amenable number.

10382807729 is a deficient number, since it is larger than the sum of its proper divisors (2138314831).

10382807729 is an equidigital number, since it uses as much as digits as its factorization.

10382807729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724720.

The product of its (nonzero) digits is 338688, while the sum is 47.

The spelling of 10382807729 in words is "ten billion, three hundred eighty-two million, eight hundred seven thousand, seven hundred twenty-nine".