50126732100 has 243 divisors, whose sum is σ = 167286504567. Its totient is φ = 12552168960.

The previous prime is 50126732021. The next prime is 50126732137. The reversal of 50126732100 is 123762105.

It is a happy number.

The square root of 50126732100 is 223890.

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

50126732100 is a `hidden beast` number, since 501 + 26 + 7 + 32 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1172514564 + 48954217536 = 34242^2 + 221256^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 114183681 + ... + 114184119.

Almost surely, 2^50126732100 is an apocalyptic number.

50126732100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50126732100 is the 223890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50126732100

50126732100 is an abundant number, since it is smaller than the sum of its proper divisors (117159772467).

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

50126732100 is a wasteful number, since it uses less digits than its factorization.

50126732100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 50126732100 in words is "fifty billion, one hundred twenty-six million, seven hundred thirty-two thousand, one hundred".