6829242138 has 32 divisors (see below), whose sum is σ = 15183043200. Its totient is φ = 2275371648.

The previous prime is 6829242131. The next prime is 6829242163. The reversal of 6829242138 is 8312429286.

It is a super-2 number, since 2×6829242138² = 93277096358869622088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6829242093 and 6829242102.

It is not an unprimeable number, because it can be changed into a prime (6829242131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94923 + ... + 150561.

It is an arithmetic number, because the mean of its divisors is an integer number (474470100).

Almost surely, 2^6829242138 is an apocalyptic number.

6829242138 is an abundant number, since it is smaller than the sum of its proper divisors (8353801062).

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

6829242138 is a wasteful number, since it uses less digits than its factorization.

6829242138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57923 (or 57917 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 6829242138 is about 82639.2288081151. The cubic root of 6829242138 is about 1897.2482916910.

The spelling of 6829242138 in words is "six billion, eight hundred twenty-nine million, two hundred forty-two thousand, one hundred thirty-eight".