47982431700 has 540 divisors, whose sum is σ = 184429062972. Its totient is φ = 10755763200.

The previous prime is 47982431689. The next prime is 47982431729. The reversal of 47982431700 is 713428974.

47982431700 is a `hidden beast` number, since 4 + 79 + 82 + 431 + 70 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 26687556 + 47955744144 = 5166^2 + 218988^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 21034560 + ... + 21036840.

Almost surely, 2^47982431700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47982431700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92214531486).

47982431700 is an abundant number, since it is smaller than the sum of its proper divisors (136446631272).

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

47982431700 is a wasteful number, since it uses less digits than its factorization.

47982431700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 47982431700 in words is "forty-seven billion, nine hundred eighty-two million, four hundred thirty-one thousand, seven hundred".