82433100164 has 24 divisors (see below), whose sum is σ = 152945556120. Its totient is φ = 38740778496.

The previous prime is 82433100107. The next prime is 82433100187. The reversal of 82433100164 is 46100133428.

It can be written as a sum of positive squares in 4 ways, for example, as 5505640000 + 76927460164 = 74200^2 + 277358^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82433100164.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 749219 + ... + 852170.

It is an arithmetic number, because the mean of its divisors is an integer number (6372731505).

Almost surely, 2^82433100164 is an apocalyptic number.

It is an amenable number.

82433100164 is a deficient number, since it is larger than the sum of its proper divisors (70512455956).

82433100164 is a wasteful number, since it uses less digits than its factorization.

82433100164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602167 (or 1602165 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 82433100164 in words is "eighty-two billion, four hundred thirty-three million, one hundred thousand, one hundred sixty-four".