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15058838957 is a prime number
BaseRepresentation
bin11100000011001001…
…11010010110101101
31102212110212021120012
432001210322112231
5221320030321312
610530135103005
71042113006401
oct160144722655
942773767505
1015058838957
11642835a658
122b03211a65
13155caaa6c6
14a2bd7d101
155d2088322
hex38193a5ad

15058838957 has 2 divisors, whose sum is σ = 15058838958. Its totient is φ = 15058838956.

The previous prime is 15058838953. The next prime is 15058838959. The reversal of 15058838957 is 75983885051.

15058838957 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., 13882966276 + 1175872681 = 117826^2 + 34291^2 .

It is a cyclic number.

It is not a de Polignac number, because 15058838957 - 22 = 15058838953 is a prime.

Together with 15058838959, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 15058838896 and 15058838905.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (15058838953) 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 as a sum of consecutive naturals, namely, 7529419478 + 7529419479.

It is an arithmetic number, because the mean of its divisors is an integer number (7529419479).

Almost surely, 215058838957 is an apocalyptic number.

It is an amenable number.

15058838957 is a deficient number, since it is larger than the sum of its proper divisors (1).

15058838957 is an equidigital number, since it uses as much as digits as its factorization.

15058838957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096000, while the sum is 59.

The spelling of 15058838957 in words is "fifteen billion, fifty-eight million, eight hundred thirty-eight thousand, nine hundred fifty-seven".