82932241536 has 96 divisors (see below), whose sum is σ = 249022163520. Its totient is φ = 26442155520.

The previous prime is 82932241529. The next prime is 82932241591. The reversal of 82932241536 is 63514223928.

82932241536 is a `hidden beast` number, since 8 + 2 + 93 + 2 + 24 + 1 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×82932241536³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82932241491 and 82932241500.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1538500 + ... + 1591491.

It is an arithmetic number, because the mean of its divisors is an integer number (2593980870).

Almost surely, 2^82932241536 is an apocalyptic number.

It is an amenable number.

82932241536 is an abundant number, since it is smaller than the sum of its proper divisors (166089921984).

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

82932241536 is a wasteful number, since it uses less digits than its factorization.

82932241536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130034 (or 3130019 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 82932241536 in words is "eighty-two billion, nine hundred thirty-two million, two hundred forty-one thousand, five hundred thirty-six".