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34375124617 is a prime number
BaseRepresentation
bin100000000000111010…
…101100011010001001
310021201122212021001121
4200000322230122021
51030400012441432
623443002115241
72324563511131
oct400072543211
9107648767047
1034375124617
111363a9529a9
1267b41abb21
13331a928832
141941529ac1
15d62c9c197
hex800eac689

34375124617 has 2 divisors, whose sum is σ = 34375124618. Its totient is φ = 34375124616.

The previous prime is 34375124599. The next prime is 34375124701. The reversal of 34375124617 is 71642157343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27124772416 + 7250352201 = 164696^2 + 85149^2 .

It is an emirp because it is prime and its reverse (71642157343) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34375124617 - 27 = 34375124489 is a prime.

It is not a weakly prime, because it can be changed into another prime (34375128617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17187562308 + 17187562309.

It is an arithmetic number, because the mean of its divisors is an integer number (17187562309).

Almost surely, 234375124617 is an apocalyptic number.

It is an amenable number.

34375124617 is a deficient number, since it is larger than the sum of its proper divisors (1).

34375124617 is an equidigital number, since it uses as much as digits as its factorization.

34375124617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 423360, while the sum is 43.

The spelling of 34375124617 in words is "thirty-four billion, three hundred seventy-five million, one hundred twenty-four thousand, six hundred seventeen".