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27741501013 is a prime number
BaseRepresentation
bin11001110101100001…
…011011011001010101
32122121100112021012111
4121311201123121111
5423303311013023
620424432351021
72001313603462
oct316541333125
978540467174
1027741501013
1110846399346
1254626a5471
1328014c0a75
1414b2500669
15ac570400d
hex67585b655

27741501013 has 2 divisors, whose sum is σ = 27741501014. Its totient is φ = 27741501012.

The previous prime is 27741501001. The next prime is 27741501049. The reversal of 27741501013 is 31010514772.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27404484849 + 337016164 = 165543^2 + 18358^2 .

It is a cyclic number.

It is not a de Polignac number, because 27741501013 - 217 = 27741369941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27741501913) 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, 13870750506 + 13870750507.

It is an arithmetic number, because the mean of its divisors is an integer number (13870750507).

Almost surely, 227741501013 is an apocalyptic number.

It is an amenable number.

27741501013 is a deficient number, since it is larger than the sum of its proper divisors (1).

27741501013 is an equidigital number, since it uses as much as digits as its factorization.

27741501013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5880, while the sum is 31.

The spelling of 27741501013 in words is "twenty-seven billion, seven hundred forty-one million, five hundred one thousand, thirteen".