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10734876673 is a prime number
BaseRepresentation
bin10011111111101100…
…10011100000000001
31000201010120020101221
421333312103200001
5133441112023143
64533113355041
7530006642353
oct117766234001
930633506357
1010734876673
114609615804
1220b7108a81
13102101b441
1473b9b90d3
1542c66e2ed
hex27fd93801

10734876673 has 2 divisors, whose sum is σ = 10734876674. Its totient is φ = 10734876672.

The previous prime is 10734876653. The next prime is 10734876689. The reversal of 10734876673 is 37667843701.

10734876673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10598290704 + 136585969 = 102948^2 + 11687^2 .

It is a cyclic number.

It is not a de Polignac number, because 10734876673 - 213 = 10734868481 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10734876673.

It is not a weakly prime, because it can be changed into another prime (10734876653) 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, 5367438336 + 5367438337.

It is an arithmetic number, because the mean of its divisors is an integer number (5367438337).

Almost surely, 210734876673 is an apocalyptic number.

It is an amenable number.

10734876673 is a deficient number, since it is larger than the sum of its proper divisors (1).

10734876673 is an equidigital number, since it uses as much as digits as its factorization.

10734876673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3556224, while the sum is 52.

The spelling of 10734876673 in words is "ten billion, seven hundred thirty-four million, eight hundred seventy-six thousand, six hundred seventy-three".