48929273100 has 540 divisors, whose sum is σ = 174822256840. Its totient is φ = 11803968000.

The previous prime is 48929273089. The next prime is 48929273131. The reversal of 48929273100 is 137292984.

48929273100 is a `hidden beast` number, since 48 + 9 + 292 + 7 + 310 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×48929273100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 179 ways as a sum of consecutive naturals, for example, 81412800 + ... + 81413400.

Almost surely, 2^48929273100 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 48929273100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87411128420).

48929273100 is an abundant number, since it is smaller than the sum of its proper divisors (125892983740).

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

48929273100 is a wasteful number, since it uses less digits than its factorization.

48929273100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 48929273100 in words is "forty-eight billion, nine hundred twenty-nine million, two hundred seventy-three thousand, one hundred".