30706253824 has 75 divisors (see below), whose sum is σ = 63116483507. Its totient is φ = 14938177536.

The previous prime is 30706253729. The next prime is 30706253833. The reversal of 30706253824 is 42835260703.

The square root of 30706253824 is 175232.

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

It can be written as a sum of positive squares in 2 ways, for example, as 19145703424 + 11560550400 = 138368^2 + 107520^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=296.

It is a Duffinian number.

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 4 ways as a sum of consecutive naturals, for example, 829898734 + ... + 829898770.

Almost surely, 2^30706253824 is an apocalyptic number.

30706253824 is the 175232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30706253824

30706253824 is an abundant number, since it is smaller than the sum of its proper divisors (32410229683).

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

30706253824 is an frugal number, since it uses more digits than its factorization.

30706253824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 30706253824 in words is "thirty billion, seven hundred six million, two hundred fifty-three thousand, eight hundred twenty-four".