47824831802500 has 45 divisors (see below), whose sum is σ = 104584098337411. Its totient is φ = 19129794410000.

The previous prime is 47824831802497. The next prime is 47824831802549. The reversal of 47824831802500 is 520813842874.

The square root of 47824831802500 is 6915550.

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

47824831802500 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 2 ways, for example, as 3749466813316 + 44075364989184 = 1936354^2 + 6638928^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 345708345 + ... + 345846655.

Almost surely, 2^{47824831802500} is an apocalyptic number.

47824831802500 is the 6915550-th square number.

It is an amenable number.

47824831802500 is an abundant number, since it is smaller than the sum of its proper divisors (56759266534911).

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

47824831802500 is an frugal number, since it uses more digits than its factorization.

47824831802500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276646 (or 138318 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 52.

The spelling of 47824831802500 in words is "forty-seven trillion, eight hundred twenty-four billion, eight hundred thirty-one million, eight hundred two thousand, five hundred".