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27713746013 is a prime number
BaseRepresentation
bin11001110011110111…
…100011010001011101
32122112102022011111112
4121303313203101131
5423224204333023
620422001431405
72000525645222
oct316367432135
978472264445
1027713746013
1110831761628
12545533b565
1327c88238a5
1414ac957949
15ac3070478
hex673de345d

27713746013 has 2 divisors, whose sum is σ = 27713746014. Its totient is φ = 27713746012.

The previous prime is 27713745979. The next prime is 27713746033. The reversal of 27713746013 is 31064731772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17370449209 + 10343296804 = 131797^2 + 101702^2 .

It is a cyclic number.

It is not a de Polignac number, because 27713746013 - 230 = 26640004189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27713746033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13856873006 + 13856873007.

It is an arithmetic number, because the mean of its divisors is an integer number (13856873007).

Almost surely, 227713746013 is an apocalyptic number.

It is an amenable number.

27713746013 is a deficient number, since it is larger than the sum of its proper divisors (1).

27713746013 is an equidigital number, since it uses as much as digits as its factorization.

27713746013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 148176, while the sum is 41.

The spelling of 27713746013 in words is "twenty-seven billion, seven hundred thirteen million, seven hundred forty-six thousand, thirteen".