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8256187441 is a prime number
BaseRepresentation
bin1111011000001101…
…10110110000110001
3210022101110210000001
413230012312300301
5113402040444231
63443130430001
7411411302215
oct75406666061
923271423001
108256187441
113557447907
121724b92301
13a17640c18
14584714945
15334c52b61
hex1ec1b6c31

8256187441 has 2 divisors, whose sum is σ = 8256187442. Its totient is φ = 8256187440.

The previous prime is 8256187339. The next prime is 8256187453. The reversal of 8256187441 is 1447816528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6259974400 + 1996213041 = 79120^2 + 44679^2 .

It is a cyclic number.

It is not a de Polignac number, because 8256187441 - 231 = 6108703793 is a prime.

It is a super-2 number, since 2×82561874412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8256187391 and 8256187400.

It is not a weakly prime, because it can be changed into another prime (8256587441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4128093720 + 4128093721.

It is an arithmetic number, because the mean of its divisors is an integer number (4128093721).

Almost surely, 28256187441 is an apocalyptic number.

It is an amenable number.

8256187441 is a deficient number, since it is larger than the sum of its proper divisors (1).

8256187441 is an equidigital number, since it uses as much as digits as its factorization.

8256187441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 430080, while the sum is 46.

The square root of 8256187441 is about 90863.5649806896. The cubic root of 8256187441 is about 2021.1250342631.

The spelling of 8256187441 in words is "eight billion, two hundred fifty-six million, one hundred eighty-seven thousand, four hundred forty-one".