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4057579817 is a prime number
BaseRepresentation
bin1111000111011001…
…1100000100101001
3101110210001102002222
43301312130010221
531302220023232
61510344003425
7202356600524
oct36166340451
911423042088
104057579817
1117a2441855
12952a60575
134c8831c05
142a6c61bbb
1518b34ad12
hexf1d9c129

4057579817 has 2 divisors, whose sum is σ = 4057579818. Its totient is φ = 4057579816.

The previous prime is 4057579811. The next prime is 4057579819. The reversal of 4057579817 is 7189757504.

4057579817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3630785536 + 426794281 = 60256^2 + 20659^2 .

It is a cyclic number.

It is not a de Polignac number, because 4057579817 - 212 = 4057575721 is a prime.

Together with 4057579819, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4057579811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2028789908 + 2028789909.

It is an arithmetic number, because the mean of its divisors is an integer number (2028789909).

Almost surely, 24057579817 is an apocalyptic number.

It is an amenable number.

4057579817 is a deficient number, since it is larger than the sum of its proper divisors (1).

4057579817 is an equidigital number, since it uses as much as digits as its factorization.

4057579817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2469600, while the sum is 53.

The square root of 4057579817 is about 63699.1351354161. The cubic root of 4057579817 is about 1594.9816485541.

The spelling of 4057579817 in words is "four billion, fifty-seven million, five hundred seventy-nine thousand, eight hundred seventeen".