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34258045153 is a prime number
BaseRepresentation
bin11111111001111100…
…000100100011100001
310021102111120000020011
4133321330010203201
51030130024421103
623423220444521
72321642402443
oct377174044341
9107374500204
1034258045153
111358a856412
126780b49741
1332cc5b5047
14192db70493
15d57871d6d
hex7f9f048e1

34258045153 has 2 divisors, whose sum is σ = 34258045154. Its totient is φ = 34258045152.

The previous prime is 34258045111. The next prime is 34258045177. The reversal of 34258045153 is 35154085243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29238606049 + 5019439104 = 170993^2 + 70848^2 .

It is an emirp because it is prime and its reverse (35154085243) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34258045153 - 225 = 34224490721 is a prime.

It is a super-2 number, since 2×342580451532 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34258045253) 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, 17129022576 + 17129022577.

It is an arithmetic number, because the mean of its divisors is an integer number (17129022577).

Almost surely, 234258045153 is an apocalyptic number.

It is an amenable number.

34258045153 is a deficient number, since it is larger than the sum of its proper divisors (1).

34258045153 is an equidigital number, since it uses as much as digits as its factorization.

34258045153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 34258045153 in words is "thirty-four billion, two hundred fifty-eight million, forty-five thousand, one hundred fifty-three".