47496100096 has 81 divisors (see below), whose sum is σ = 97006676851. Its totient is φ = 23209312256.

The previous prime is 47496100073. The next prime is 47496100123. The reversal of 47496100096 is 69000169474.

The square root of 47496100096 is 217936.

It is a perfect power (a square), and thus also a powerful number.

47496100096 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 4 ways, for example, as 28650301696 + 18845798400 = 169264^2 + 137280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 184809600 + ... + 184809856.

Almost surely, 2^47496100096 is an apocalyptic number.

47496100096 is the 217936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47496100096

47496100096 is an abundant number, since it is smaller than the sum of its proper divisors (49510576755).

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

47496100096 is an frugal number, since it uses more digits than its factorization.

47496100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 47496100096 in words is "forty-seven billion, four hundred ninety-six million, one hundred thousand, ninety-six".