82147528242 has 128 divisors (see below), whose sum is σ = 212533574400. Its totient is φ = 23298513408.

The previous prime is 82147528189. The next prime is 82147528247. The reversal of 82147528242 is 24282574128.

82147528242 is a `hidden beast` number, since 82 + 1 + 4 + 7 + 528 + 2 + 42 = 666.

It is a super-2 number, since 2×82147528242² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82147528247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410278 + ... + 576734.

It is an arithmetic number, because the mean of its divisors is an integer number (1660418550).

Almost surely, 2^82147528242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82147528242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106266787200).

82147528242 is an abundant number, since it is smaller than the sum of its proper divisors (130386046158).

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

82147528242 is a wasteful number, since it uses less digits than its factorization.

82147528242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166537 (or 166531 counting only the distinct ones).

The product of its digits is 573440, while the sum is 45.

The spelling of 82147528242 in words is "eighty-two billion, one hundred forty-seven million, five hundred twenty-eight thousand, two hundred forty-two".