49947780100 has 27 divisors (see below), whose sum is σ = 108391532767. Its totient is φ = 19978218080.

The previous prime is 49947780079. The next prime is 49947780101. The reversal of 49947780100 is 108774994.

The square root of 49947780100 is 223490.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12231032836 + 37716747264 = 110594^2 + 194208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49947780101) 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, 2223726 + ... + 2246074.

Almost surely, 2^49947780100 is an apocalyptic number.

49947780100 is the 223490-th square number.

It is an amenable number.

49947780100 is an abundant number, since it is smaller than the sum of its proper divisors (58443752667).

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

49947780100 is an frugal number, since it uses more digits than its factorization.

49947780100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44712 (or 22356 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 49.

Multiplying 49947780100 by its sum of digits (49), we get a square (2447441224900 = 1564430²).

The spelling of 49947780100 in words is "forty-nine billion, nine hundred forty-seven million, seven hundred eighty thousand, one hundred".