5138276416 has 84 divisors (see below), whose sum is σ = 12773447148. Its totient is φ = 2032708608.

The previous prime is 5138276387. The next prime is 5138276441. The reversal of 5138276416 is 6146728315.

It can be written as a sum of positive squares in 2 ways, for example, as 734626816 + 4403649600 = 27104^2 + 66360^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22251 + ... + 103786.

It is an arithmetic number, because the mean of its divisors is an integer number (152064847).

Almost surely, 2^5138276416 is an apocalyptic number.

5138276416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5138276416 is an abundant number, since it is smaller than the sum of its proper divisors (7635170732).

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

5138276416 is a wasteful number, since it uses less digits than its factorization.

5138276416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126076 (or 126059 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 5138276416 is about 71681.7718531008. The cubic root of 5138276416 is about 1725.5961158670.

The spelling of 5138276416 in words is "five billion, one hundred thirty-eight million, two hundred seventy-six thousand, four hundred sixteen".