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27741406109 is a prime number
BaseRepresentation
bin11001110101100001…
…000100001110011101
32122121100100110000112
4121311201010032131
5423303244443414
620424430335405
72001313030004
oct316541041635
978540313015
1027741406109
111084633400a
12546265a565
132801489801
1414b24b7c3b
15ac56d5d3e
hex67584439d

27741406109 has 2 divisors, whose sum is σ = 27741406110. Its totient is φ = 27741406108.

The previous prime is 27741406051. The next prime is 27741406111. The reversal of 27741406109 is 90160414772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18716976100 + 9024430009 = 136810^2 + 94997^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27741406109 is a prime.

It is a super-2 number, since 2×277414061092 (a number of 22 digits) contains 22 as substring.

Together with 27741406111, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27741406169) 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, 13870703054 + 13870703055.

It is an arithmetic number, because the mean of its divisors is an integer number (13870703055).

Almost surely, 227741406109 is an apocalyptic number.

It is an amenable number.

27741406109 is a deficient number, since it is larger than the sum of its proper divisors (1).

27741406109 is an equidigital number, since it uses as much as digits as its factorization.

27741406109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 27741406109 in words is "twenty-seven billion, seven hundred forty-one million, four hundred six thousand, one hundred nine".