50146837200 has 90 divisors (see below), whose sum is σ = 174023467254. Its totient is φ = 13372488960.

The previous prime is 50146837193. The next prime is 50146837211. The reversal of 50146837200 is 273864105.

50146837200 is a `hidden beast` number, since 501 + 4 + 6 + 83 + 72 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 253573776 + 49893263424 = 15924^2 + 223368^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6961239 + ... + 6968438.

Almost surely, 2^50146837200 is an apocalyptic number.

50146837200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

50146837200 is an abundant number, since it is smaller than the sum of its proper divisors (123876630054).

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

50146837200 is a wasteful number, since it uses less digits than its factorization.

50146837200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13929701 (or 13929687 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 50146837200 in words is "fifty billion, one hundred forty-six million, eight hundred thirty-seven thousand, two hundred".