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8085618041 is a prime number
BaseRepresentation
bin1111000011111000…
…01011110101111001
3202212111111221202212
413201330023311321
5113024404234131
63414154504505
7404240422304
oct74174136571
922774457685
108085618041
11347a136566
121697a35135
139bb1bc697
14569bd3b3b
15324cada2b
hex1e1f0bd79

8085618041 has 2 divisors, whose sum is σ = 8085618042. Its totient is φ = 8085618040.

The previous prime is 8085617987. The next prime is 8085618061. The reversal of 8085618041 is 1408165808.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7203765625 + 881852416 = 84875^2 + 29696^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-8085618041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8085618041.

It is not a weakly prime, because it can be changed into another prime (8085618061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4042809020 + 4042809021.

It is an arithmetic number, because the mean of its divisors is an integer number (4042809021).

Almost surely, 28085618041 is an apocalyptic number.

It is an amenable number.

8085618041 is a deficient number, since it is larger than the sum of its proper divisors (1).

8085618041 is an equidigital number, since it uses as much as digits as its factorization.

8085618041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 61440, while the sum is 41.

The square root of 8085618041 is about 89920.0647297365. The cubic root of 8085618041 is about 2007.1095340664.

The spelling of 8085618041 in words is "eight billion, eighty-five million, six hundred eighteen thousand, forty-one".