83113430436 has 27 divisors (see below), whose sum is σ = 210096655041. Its totient is φ = 27703900224.

The previous prime is 83113430417. The next prime is 83113430459. The reversal of 83113430436 is 63403431138.

The square root of 83113430436 is 288294.

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

83113430436 is a `hidden beast` number, since 8 + 311 + 3 + 4 + 304 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6273590436 + 76839840000 = 79206^2 + 277200^2 .

It is a super-2 number, since 2×83113430436² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83113430436.

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 8 ways as a sum of consecutive naturals, for example, 1705740 + ... + 1753788.

Almost surely, 2^83113430436 is an apocalyptic number.

83113430436 is the 288294-th square number.

It is an amenable number.

83113430436 is an abundant number, since it is smaller than the sum of its proper divisors (126983224605).

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

83113430436 is an frugal number, since it uses more digits than its factorization.

83113430436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96108 (or 48054 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Multiplying 83113430436 by its sum of digits (36), we get a square (2992083495696 = 1729764²).

83113430436 divided by its sum of digits (36) gives a square (2308706401 = 48049²).

The spelling of 83113430436 in words is "eighty-three billion, one hundred thirteen million, four hundred thirty thousand, four hundred thirty-six".