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6838131137 is a prime number
BaseRepresentation
bin1100101111001010…
…11001100111000001
3122122120011001110012
412113211121213001
5103001030144022
63050312514305
7331312104245
oct62745314701
918576131405
106838131137
112999a46152
1213aa0ab995
1384c90c956
1448c262425
152a04e2de2
hex1979599c1

6838131137 has 2 divisors, whose sum is σ = 6838131138. Its totient is φ = 6838131136.

The previous prime is 6838131133. The next prime is 6838131143. The reversal of 6838131137 is 7311318386.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4623864001 + 2214267136 = 67999^2 + 47056^2 .

It is a cyclic number.

It is not a de Polignac number, because 6838131137 - 22 = 6838131133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6838131094 and 6838131103.

It is not a weakly prime, because it can be changed into another prime (6838131133) 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, 3419065568 + 3419065569.

It is an arithmetic number, because the mean of its divisors is an integer number (3419065569).

Almost surely, 26838131137 is an apocalyptic number.

It is an amenable number.

6838131137 is a deficient number, since it is larger than the sum of its proper divisors (1).

6838131137 is an equidigital number, since it uses as much as digits as its factorization.

6838131137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 41.

The square root of 6838131137 is about 82692.9932763351. The cubic root of 6838131137 is about 1898.0710929166.

The spelling of 6838131137 in words is "six billion, eight hundred thirty-eight million, one hundred thirty-one thousand, one hundred thirty-seven".