49026128100 has 144 divisors (see below), whose sum is σ = 143878291200. Its totient is φ = 12887147520.

The previous prime is 49026128087. The next prime is 49026128153. The reversal of 49026128100 is 182162094.

It is a super-2 number, since 2×49026128100² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 19172022 + ... + 19174578.

It is an arithmetic number, because the mean of its divisors is an integer number (999154800).

Almost surely, 2^49026128100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49026128100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71939145600).

49026128100 is an abundant number, since it is smaller than the sum of its proper divisors (94852163100).

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

49026128100 is a wasteful number, since it uses less digits than its factorization.

49026128100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 49026128100 in words is "forty-nine billion, twenty-six million, one hundred twenty-eight thousand, one hundred".