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6446478461 is a prime number
BaseRepresentation
bin1100000000011110…
…10111010001111101
3121122021012000222112
412000033113101331
5101200244302321
62543402223405
7315515106563
oct60017272175
917567160875
106446478461
112808961755
1212baab4b65
137b97318c7
14452231a33
1527ae2ca5b
hex1803d747d

6446478461 has 2 divisors, whose sum is σ = 6446478462. Its totient is φ = 6446478460.

The previous prime is 6446478377. The next prime is 6446478463. The reversal of 6446478461 is 1648746446.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5289798361 + 1156680100 = 72731^2 + 34010^2 .

It is a cyclic number.

It is not a de Polignac number, because 6446478461 - 222 = 6442284157 is a prime.

Together with 6446478463, 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 (6446478463) 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, 3223239230 + 3223239231.

It is an arithmetic number, because the mean of its divisors is an integer number (3223239231).

Almost surely, 26446478461 is an apocalyptic number.

It is an amenable number.

6446478461 is a deficient number, since it is larger than the sum of its proper divisors (1).

6446478461 is an equidigital number, since it uses as much as digits as its factorization.

6446478461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3096576, while the sum is 50.

The square root of 6446478461 is about 80289.9648835395. The cubic root of 6446478461 is about 1861.1191535267.

The spelling of 6446478461 in words is "six billion, four hundred forty-six million, four hundred seventy-eight thousand, four hundred sixty-one".