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6938146529 is a prime number
BaseRepresentation
bin1100111011000101…
…11011011011100001
3122220112100100202222
412131202323123201
5103202131142104
63104244320425
7333635162306
oct63542733341
918815310688
106938146529
112a404481a6
1214176a3115
1386755a462
1449b6590ad
152a919c1be
hex19d8bb6e1

6938146529 has 2 divisors, whose sum is σ = 6938146530. Its totient is φ = 6938146528.

The previous prime is 6938146417. The next prime is 6938146531. The reversal of 6938146529 is 9256418396.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4600230625 + 2337915904 = 67825^2 + 48352^2 .

It is a cyclic number.

It is not a de Polignac number, because 6938146529 - 220 = 6937097953 is a prime.

Together with 6938146531, 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 (6938146129) 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 as a sum of consecutive naturals, namely, 3469073264 + 3469073265.

It is an arithmetic number, because the mean of its divisors is an integer number (3469073265).

Almost surely, 26938146529 is an apocalyptic number.

It is an amenable number.

6938146529 is a deficient number, since it is larger than the sum of its proper divisors (1).

6938146529 is an equidigital number, since it uses as much as digits as its factorization.

6938146529 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2799360, while the sum is 53.

The square root of 6938146529 is about 83295.5372694120. The cubic root of 6938146529 is about 1907.2801514037.

The spelling of 6938146529 in words is "six billion, nine hundred thirty-eight million, one hundred forty-six thousand, five hundred twenty-nine".