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34015266137 is a prime number
BaseRepresentation
bin11111101011011101…
…111100010101011001
310020210120201120000202
4133223131330111121
51024130402004022
623343145111545
72312633664056
oct375335742531
9106716646022
1034015266137
11134758049a6
1267137885b5
133291200318
14190981402d
15d413b7592
hex7eb77c559

34015266137 has 2 divisors, whose sum is σ = 34015266138. Its totient is φ = 34015266136.

The previous prime is 34015266133. The next prime is 34015266151. The reversal of 34015266137 is 73166251043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33845328841 + 169937296 = 183971^2 + 13036^2 .

It is an emirp because it is prime and its reverse (73166251043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34015266137 - 22 = 34015266133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34015266137.

It is not a weakly prime, because it can be changed into another prime (34015266133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17007633068 + 17007633069.

It is an arithmetic number, because the mean of its divisors is an integer number (17007633069).

Almost surely, 234015266137 is an apocalyptic number.

It is an amenable number.

34015266137 is a deficient number, since it is larger than the sum of its proper divisors (1).

34015266137 is an equidigital number, since it uses as much as digits as its factorization.

34015266137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 34015266137 in words is "thirty-four billion, fifteen million, two hundred sixty-six thousand, one hundred thirty-seven".