47781588100 has 27 divisors (see below), whose sum is σ = 103690789797. Its totient is φ = 19111760880.

The previous prime is 47781588083. The next prime is 47781588109. The reversal of 47781588100 is 188518774.

The square root of 47781588100 is 218590.

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

It can be written as a sum of positive squares in only one way, i.e., 17201371716 + 30580216384 = 131154^2 + 174872^2 .

It is a super-2 number, since 2×47781588100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47781588109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2174971 + ... + 2196829.

Almost surely, 2^47781588100 is an apocalyptic number.

47781588100 is the 218590-th square number.

It is an amenable number.

47781588100 is an abundant number, since it is smaller than the sum of its proper divisors (55909201697).

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

47781588100 is an frugal number, since it uses more digits than its factorization.

47781588100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43732 (or 21866 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 49.

Multiplying 47781588100 by its sum of digits (49), we get a square (2341297816900 = 1530130²).

The spelling of 47781588100 in words is "forty-seven billion, seven hundred eighty-one million, five hundred eighty-eight thousand, one hundred".