10047648200 has 48 divisors (see below), whose sum is σ = 23371132500. Its totient is φ = 4017278720.

The previous prime is 10047648181. The next prime is 10047648211. The reversal of 10047648200 is 284674001.

10047648200 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 6 ways, for example, as 6191486596 + 3856161604 = 78686^2 + 62098^2 .

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 in 11 ways as a sum of consecutive naturals, for example, 499946 + ... + 519654.

Almost surely, 2^10047648200 is an apocalyptic number.

10047648200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10047648200 is an abundant number, since it is smaller than the sum of its proper divisors (13323484300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10047648200 is a wasteful number, since it uses less digits than its factorization.

10047648200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22274 (or 22265 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 10047648200 in words is "ten billion, forty-seven million, six hundred forty-eight thousand, two hundred".