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8446668401 is a prime number
BaseRepresentation
bin1111101110111010…
…11110111001110001
3210210122220012202102
413313131132321301
5114244321342101
63514053230145
7416213332253
oct76735367161
923718805672
108446668401
113644a18a96
121778932355
13a47c44552
145a1b39cd3
1534682b86b
hex1f775ee71

8446668401 has 2 divisors, whose sum is σ = 8446668402. Its totient is φ = 8446668400.

The previous prime is 8446668361. The next prime is 8446668413. The reversal of 8446668401 is 1048666448.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8157702400 + 288966001 = 90320^2 + 16999^2 .

It is a cyclic number.

It is not a de Polignac number, because 8446668401 - 26 = 8446668337 is a prime.

It is not a weakly prime, because it can be changed into another prime (8446661401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4223334200 + 4223334201.

It is an arithmetic number, because the mean of its divisors is an integer number (4223334201).

Almost surely, 28446668401 is an apocalyptic number.

It is an amenable number.

8446668401 is a deficient number, since it is larger than the sum of its proper divisors (1).

8446668401 is an equidigital number, since it uses as much as digits as its factorization.

8446668401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 884736, while the sum is 47.

The square root of 8446668401 is about 91905.7582581200. The cubic root of 8446668401 is about 2036.5503342356.

The spelling of 8446668401 in words is "eight billion, four hundred forty-six million, six hundred sixty-eight thousand, four hundred one".