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81141164873 is a prime number
BaseRepresentation
bin100101110010001100…
…0111110101101001001
321202102212102020220122
41023210120332231021
52312134114233443
6101135320433025
75601516343616
oct1134430765511
9252385366818
1081141164873
113145908814a
1213886018775
1378616995c2
143cda55150d
15219d786968
hex12e463eb49

81141164873 has 2 divisors, whose sum is σ = 81141164874. Its totient is φ = 81141164872.

The previous prime is 81141164857. The next prime is 81141164893. The reversal of 81141164873 is 37846114118.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74356018489 + 6785146384 = 272683^2 + 82372^2 .

It is a cyclic number.

It is not a de Polignac number, because 81141164873 - 24 = 81141164857 is a prime.

It is a super-2 number, since 2×811411648732 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (81141164803) 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, 40570582436 + 40570582437.

It is an arithmetic number, because the mean of its divisors is an integer number (40570582437).

Almost surely, 281141164873 is an apocalyptic number.

It is an amenable number.

81141164873 is a deficient number, since it is larger than the sum of its proper divisors (1).

81141164873 is an equidigital number, since it uses as much as digits as its factorization.

81141164873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 129024, while the sum is 44.

The spelling of 81141164873 in words is "eighty-one billion, one hundred forty-one million, one hundred sixty-four thousand, eight hundred seventy-three".