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8190000041 is a prime number
BaseRepresentation
bin1111010000010100…
…10111101110101001
3210010202221002221212
413220022113232221
5113233120000131
63432404042505
7406645565066
oct75012275651
923122832855
108190000041
113523050283
121706993435
13a06a08892
14579a05c6d
1532e02ba2b
hex1e8297ba9

8190000041 has 2 divisors, whose sum is σ = 8190000042. Its totient is φ = 8190000040.

The previous prime is 8189999963. The next prime is 8190000043. The reversal of 8190000041 is 1400000918.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5681993641 + 2508006400 = 75379^2 + 50080^2 .

It is a cyclic number.

It is not a de Polignac number, because 8190000041 - 222 = 8185805737 is a prime.

It is a super-2 number, since 2×81900000412 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 8190000043, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8189999971 and 8190000016.

It is not a weakly prime, because it can be changed into another prime (8190000043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4095000020 + 4095000021.

It is an arithmetic number, because the mean of its divisors is an integer number (4095000021).

Almost surely, 28190000041 is an apocalyptic number.

It is an amenable number.

8190000041 is a deficient number, since it is larger than the sum of its proper divisors (1).

8190000041 is an equidigital number, since it uses as much as digits as its factorization.

8190000041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 8190000041 is about 90498.6190005129. The cubic root of 8190000041 is about 2015.7096176230.

Adding to 8190000041 its reverse (1400000918), we get a palindrome (9590000959).

The spelling of 8190000041 in words is "eight billion, one hundred ninety million, forty-one", and thus it is an aban number.