82104742557 has 14 divisors (see below), whose sum is σ = 123100801662. Its totient is φ = 54736494552.

The previous prime is 82104742537. The next prime is 82104742583. The reversal of 82104742557 is 75524740128.

82104742557 is a `hidden beast` number, since 8 + 2 + 10 + 47 + 42 + 557 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42808023801 + 39296718756 = 206901^2 + 198234^2 .

It is not a de Polignac number, because 82104742557 - 2⁸ = 82104742301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82104742537) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 56312538 + ... + 56313995.

Almost surely, 2^82104742557 is an apocalyptic number.

It is an amenable number.

82104742557 is a deficient number, since it is larger than the sum of its proper divisors (40996059105).

82104742557 is an equidigital number, since it uses as much as digits as its factorization.

82104742557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112626551 (or 112626536 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 82104742557 in words is "eighty-two billion, one hundred four million, seven hundred forty-two thousand, five hundred fifty-seven".