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8097000029 is a prime number
BaseRepresentation
bin1111000101001111…
…00110101001011101
3202220021221012220222
413202213212221131
5113040313000104
63415242451125
7404436236036
oct74247465135
922807835828
108097000029
1134855aaa68
12169b803aa5
139c06762a1
1456b517a8d
15325cab1be
hex1e29e6a5d

8097000029 has 2 divisors, whose sum is σ = 8097000030. Its totient is φ = 8097000028.

The previous prime is 8096999987. The next prime is 8097000073. The reversal of 8097000029 is 9200007908.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6827716900 + 1269283129 = 82630^2 + 35627^2 .

It is a cyclic number.

It is not a de Polignac number, because 8097000029 - 228 = 7828564573 is a prime.

It is a super-2 number, since 2×80970000292 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8097000089) 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, 4048500014 + 4048500015.

It is an arithmetic number, because the mean of its divisors is an integer number (4048500015).

Almost surely, 28097000029 is an apocalyptic number.

It is an amenable number.

8097000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

8097000029 is an equidigital number, since it uses as much as digits as its factorization.

8097000029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 8097000029 is about 89983.3319509786. The cubic root of 8097000029 is about 2008.0508838982.

The spelling of 8097000029 in words is "eight billion, ninety-seven million, twenty-nine", and thus it is an aban number and an uban number.