82109470113 has 48 divisors (see below), whose sum is σ = 130210778880. Its totient is φ = 49446540000.

The previous prime is 82109470111. The next prime is 82109470139. The reversal of 82109470113 is 31107490128.

It is a happy number.

82109470113 is a `hidden beast` number, since 82 + 109 + 470 + 1 + 1 + 3 = 666.

It is not a de Polignac number, because 82109470113 - 2¹ = 82109470111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82109470111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11004378 + ... + 11011836.

It is an arithmetic number, because the mean of its divisors is an integer number (2712724560).

Almost surely, 2^82109470113 is an apocalyptic number.

It is an amenable number.

82109470113 is a deficient number, since it is larger than the sum of its proper divisors (48101308767).

82109470113 is a wasteful number, since it uses less digits than its factorization.

82109470113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8170 (or 8167 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 82109470113 in words is "eighty-two billion, one hundred nine million, four hundred seventy thousand, one hundred thirteen".