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2984327681 is a prime number
BaseRepresentation
bin1011000111100001…
…0011101000000001
321200222112112221212
42301320103220001
522102441441211
61212044255505
7133645236536
oct26170235001
97628475855
102984327681
1112a1636615
126b3541595
13387387b8a
142044c6d8d
15126eea38b
hexb1e13a01

2984327681 has 2 divisors, whose sum is σ = 2984327682. Its totient is φ = 2984327680.

The previous prime is 2984327629. The next prime is 2984327683. The reversal of 2984327681 is 1867234892.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1556697025 + 1427630656 = 39455^2 + 37784^2 .

It is a cyclic number.

It is not a de Polignac number, because 2984327681 - 218 = 2984065537 is a prime.

It is a super-2 number, since 2×29843276812 = 17812423415165675522, which contains 22 as substring.

Together with 2984327683, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2984327683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1492163840 + 1492163841.

It is an arithmetic number, because the mean of its divisors is an integer number (1492163841).

Almost surely, 22984327681 is an apocalyptic number.

It is an amenable number.

2984327681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2984327681 is an equidigital number, since it uses as much as digits as its factorization.

2984327681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1161216, while the sum is 50.

The square root of 2984327681 is about 54629.0003661059. Note that the first 3 decimals coincide. The cubic root of 2984327681 is about 1439.7336957712.

The spelling of 2984327681 in words is "two billion, nine hundred eighty-four million, three hundred twenty-seven thousand, six hundred eighty-one".