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3979229793 = 3711192339419
BaseRepresentation
bin1110110100101110…
…0011101001100001
3101021022121211002020
43231023203221201
531122140323133
61454504412053
7200415616020
oct35513435141
911238554066
103979229793
111762198270
12930777029
134b552b856
1429a6a88b7
151845210b3
hexed2e3a61

3979229793 has 64 divisors (see below), whose sum is σ = 7265894400. Its totient is φ = 1873143360.

The previous prime is 3979229791. The next prime is 3979229819.

3979229793 is nontrivially palindromic in base 10.

3979229793 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 3979229793 - 21 = 3979229791 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3979229791) 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 63 ways as a sum of consecutive naturals, for example, 81238 + ... + 120656.

It is an arithmetic number, because the mean of its divisors is an integer number (113529600).

Almost surely, 23979229793 is an apocalyptic number.

3979229793 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3979229793 is a deficient number, since it is larger than the sum of its proper divisors (3286664607).

3979229793 is a wasteful number, since it uses less digits than its factorization.

3979229793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39482.

The product of its digits is 11573604, while the sum is 60.

The square root of 3979229793 is about 63081.1365861459. The cubic root of 3979229793 is about 1584.6487285595.

The spelling of 3979229793 in words is "three billion, nine hundred seventy-nine million, two hundred twenty-nine thousand, seven hundred ninety-three".

Divisors: 1 3 7 11 19 21 23 33 57 69 77 133 161 209 231 253 399 437 483 627 759 1311 1463 1771 3059 4389 4807 5313 9177 14421 33649 39419 100947 118257 275933 433609 748961 827799 906637 1300827 2246883 2719911 3035263 5242727 6346459 8238571 9105789 9973007 15728181 17226103 19039377 24715713 29919021 51678309 57669997 69811049 120582721 173009991 189487133 209433147 361748163 568461399 1326409931 3979229793