47476052100 has 243 divisors, whose sum is σ = 155103282607. Its totient is φ = 12613216320.

The previous prime is 47476052087. The next prime is 47476052123. The reversal of 47476052100 is 125067474.

The square root of 47476052100 is 217890.

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

47476052100 is a `hidden beast` number, since 4 + 7 + 47 + 605 + 2 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18210422916 + 29265629184 = 134946^2 + 171072^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 176490766 + ... + 176491034.

Almost surely, 2^47476052100 is an apocalyptic number.

47476052100 is the 217890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47476052100

47476052100 is an abundant number, since it is smaller than the sum of its proper divisors (107627230507).

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

47476052100 is an frugal number, since it uses more digits than its factorization.

47476052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Multiplying 47476052100 by its sum of digits (36), we get a square (1709137875600 = 1307340²).

47476052100 divided by its sum of digits (36) gives a square (1318779225 = 36315²).

The spelling of 47476052100 in words is "forty-seven billion, four hundred seventy-six million, fifty-two thousand, one hundred".