47388936100 has 81 divisors (see below), whose sum is σ = 113089548481. Its totient is φ = 17223632800.

The previous prime is 47388936061. The next prime is 47388936103. The reversal of 47388936100 is 163988374.

It is a happy number.

The square root of 47388936100 is 217690.

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., 17060016996 + 30328919104 = 130614^2 + 174152^2 .

It is a super-2 number, since 2×47388936100² (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 (47388936103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23944911 + ... + 23946889.

Almost surely, 2^47388936100 is an apocalyptic number.

47388936100 is the 217690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47388936100

47388936100 is an abundant number, since it is smaller than the sum of its proper divisors (65700612381).

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

47388936100 is a wasteful number, since it uses less digits than its factorization.

47388936100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3994 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

Multiplying 47388936100 by its sum of digits (49), we get a square (2322057868900 = 1523830²).

The spelling of 47388936100 in words is "forty-seven billion, three hundred eighty-eight million, nine hundred thirty-six thousand, one hundred".