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10581643417 is a prime number
BaseRepresentation
bin10011101101011011…
…10001000010011001
31000022110020011220011
421312231301002121
5133132400042132
64510001201521
7523136325232
oct116655610231
930273204804
1010581643417
114540075354
1220739302a1
13cc8359987
147254cc089
1541dea1b47
hex276b71099

10581643417 has 2 divisors, whose sum is σ = 10581643418. Its totient is φ = 10581643416.

The previous prime is 10581643399. The next prime is 10581643463. The reversal of 10581643417 is 71434618501.

10581643417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8416044121 + 2165599296 = 91739^2 + 46536^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10581643417 is a prime.

It is a super-2 number, since 2×105816434172 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10581643417.

It is not a weakly prime, because it can be changed into another prime (10581641417) 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, 5290821708 + 5290821709.

It is an arithmetic number, because the mean of its divisors is an integer number (5290821709).

Almost surely, 210581643417 is an apocalyptic number.

It is an amenable number.

10581643417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10581643417 is an equidigital number, since it uses as much as digits as its factorization.

10581643417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 10581643417 in words is "ten billion, five hundred eighty-one million, six hundred forty-three thousand, four hundred seventeen".