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34185342073 is a prime number
BaseRepresentation
bin11111110101100110…
…101110110001111001
310021020102202022100111
4133311212232301321
51030002421421243
623412102304321
72320100420221
oct376546566171
9107212668314
1034185342073
1113552809523
1267607280a1
1332ba50b07c
141924247081
15d512b039d
hex7f59aec79

34185342073 has 2 divisors, whose sum is σ = 34185342074. Its totient is φ = 34185342072.

The previous prime is 34185342047. The next prime is 34185342091. The reversal of 34185342073 is 37024358143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26287109689 + 7898232384 = 162133^2 + 88872^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34185342073 is a prime.

It is a super-2 number, since 2×341853420732 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34165342073) 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, 17092671036 + 17092671037.

It is an arithmetic number, because the mean of its divisors is an integer number (17092671037).

Almost surely, 234185342073 is an apocalyptic number.

It is an amenable number.

34185342073 is a deficient number, since it is larger than the sum of its proper divisors (1).

34185342073 is an equidigital number, since it uses as much as digits as its factorization.

34185342073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 34185342073 in words is "thirty-four billion, one hundred eighty-five million, three hundred forty-two thousand, seventy-three".