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8643200801 is a prime number
BaseRepresentation
bin10000000110010110…
…01100011100100001
3211022100201002112012
420003023030130201
5120200124411201
63545353442305
7424120665104
oct100313143441
924270632465
108643200801
113735952764
121812710395
13a79886401
145bdc9873b
15358bed5bb
hex2032cc721

8643200801 has 2 divisors, whose sum is σ = 8643200802. Its totient is φ = 8643200800.

The previous prime is 8643200749. The next prime is 8643200827. The reversal of 8643200801 is 1080023468.

8643200801 is digitally balanced in base 3, 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., 8639888401 + 3312400 = 92951^2 + 1820^2 .

It is a cyclic number.

It is not a de Polignac number, because 8643200801 - 210 = 8643199777 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (8643200831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4321600400 + 4321600401.

It is an arithmetic number, because the mean of its divisors is an integer number (4321600401).

Almost surely, 28643200801 is an apocalyptic number.

It is an amenable number.

8643200801 is a deficient number, since it is larger than the sum of its proper divisors (1).

8643200801 is an equidigital number, since it uses as much as digits as its factorization.

8643200801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 8643200801 is about 92968.8162826654. The cubic root of 8643200801 is about 2052.2244979090.

The spelling of 8643200801 in words is "eight billion, six hundred forty-three million, two hundred thousand, eight hundred one".