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10446351813649 is a prime number
BaseRepresentation
bin1001100000000011101100…
…0101101100110000010001
31100222122212012220201121001
42120000323011230300101
52332123112031014044
634114553205302001
72125503223224253
oct230007305546021
940878765821531
1010446351813649
113368300299024
1212086a6104901
135aa11878471b
1428186b2cbcd3
15131b00ca22d4
hex9803b16cc11

10446351813649 has 2 divisors, whose sum is σ = 10446351813650. Its totient is φ = 10446351813648.

The previous prime is 10446351813619. The next prime is 10446351813679. The reversal of 10446351813649 is 94631815364401.

It is a balanced prime because it is at equal distance from previous prime (10446351813619) and next prime (10446351813679).

It can be written as a sum of positive squares in only one way, i.e., 7834065123600 + 2612286690049 = 2798940^2 + 1616257^2 .

It is a cyclic number.

It is not a de Polignac number, because 10446351813649 - 225 = 10446318259217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10446351813649.

It is not a weakly prime, because it can be changed into another prime (10446351813619) 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, 5223175906824 + 5223175906825.

It is an arithmetic number, because the mean of its divisors is an integer number (5223175906825).

Almost surely, 210446351813649 is an apocalyptic number.

It is an amenable number.

10446351813649 is a deficient number, since it is larger than the sum of its proper divisors (1).

10446351813649 is an equidigital number, since it uses as much as digits as its factorization.

10446351813649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 10446351813649 in words is "ten trillion, four hundred forty-six billion, three hundred fifty-one million, eight hundred thirteen thousand, six hundred forty-nine".