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6823745473 is a prime number
BaseRepresentation
bin1100101101011101…
…00001011111000001
3122121120002012000211
412112232201133001
5102433334323343
63045040314121
7331045610446
oct62656413701
918546065024
106823745473
11299190aa76
1213a5312941
13849943b1c
1448a3999cd
1529e10079d
hex196ba17c1

6823745473 has 2 divisors, whose sum is σ = 6823745474. Its totient is φ = 6823745472.

The previous prime is 6823745437. The next prime is 6823745503. The reversal of 6823745473 is 3745473286.

6823745473 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (6823745437) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6095393329 + 728352144 = 78073^2 + 26988^2 .

It is a cyclic number.

It is not a de Polignac number, because 6823745473 - 221 = 6821648321 is a prime.

It is not a weakly prime, because it can be changed into another prime (6823745573) 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, 3411872736 + 3411872737.

It is an arithmetic number, because the mean of its divisors is an integer number (3411872737).

Almost surely, 26823745473 is an apocalyptic number.

It is an amenable number.

6823745473 is a deficient number, since it is larger than the sum of its proper divisors (1).

6823745473 is an equidigital number, since it uses as much as digits as its factorization.

6823745473 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3386880, while the sum is 49.

The square root of 6823745473 is about 82605.9651175386. The cubic root of 6823745473 is about 1896.7391411293.

The spelling of 6823745473 in words is "six billion, eight hundred twenty-three million, seven hundred forty-five thousand, four hundred seventy-three".