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8184142393 = 75367337977
BaseRepresentation
bin1111001111101000…
…00001101000111001
3210010100220111202221
413213310001220321
5113230120024033
63432034324041
7406545030310
oct74764015071
923110814687
108184142393
11351a80a349
121704a29621
13a0573760b
14578d1d277
1532d77112d
hex1e7d01a39

8184142393 has 32 divisors (see below), whose sum is σ = 9710648064. Its totient is φ = 6752858112.

The previous prime is 8184142387. The next prime is 8184142433. The reversal of 8184142393 is 3932414818.

8184142393 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8184142393 - 221 = 8182045241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8184142303) 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 31 ways as a sum of consecutive naturals, for example, 8376321 + ... + 8377297.

It is an arithmetic number, because the mean of its divisors is an integer number (303457752).

Almost surely, 28184142393 is an apocalyptic number.

It is an amenable number.

8184142393 is a deficient number, since it is larger than the sum of its proper divisors (1526505671).

8184142393 is a wasteful number, since it uses less digits than its factorization.

8184142393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441.

The product of its digits is 165888, while the sum is 43.

The square root of 8184142393 is about 90466.2500217623. The cubic root of 8184142393 is about 2015.2289447124.

The spelling of 8184142393 in words is "eight billion, one hundred eighty-four million, one hundred forty-two thousand, three hundred ninety-three".

Divisors: 1 7 53 67 337 371 469 977 2359 3551 6839 17861 22579 24857 51781 65459 125027 158053 329249 362467 458213 1196687 2304743 3469327 8376809 17450197 22059683 24285289 122151379 154417781 1169163199 8184142393