10242117584 has 10 divisors (see below), whose sum is σ = 19844102850. Its totient is φ = 5121058784.

The previous prime is 10242117569. The next prime is 10242117607. The reversal of 10242117584 is 48571124201.

10242117584 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., 9618117184 + 624000400 = 98072^2 + 24980^2 .

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 320066159 + ... + 320066190.

It is an arithmetic number, because the mean of its divisors is an integer number (1984410285).

Almost surely, 2^10242117584 is an apocalyptic number.

It is an amenable number.

10242117584 is a deficient number, since it is larger than the sum of its proper divisors (9601985266).

10242117584 is an equidigital number, since it uses as much as digits as its factorization.

10242117584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640132357 (or 640132351 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The spelling of 10242117584 in words is "ten billion, two hundred forty-two million, one hundred seventeen thousand, five hundred eighty-four".