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10476319489 is a prime number
BaseRepresentation
bin10011100000110111…
…11111001100000001
31000001010001011121221
421300123333030001
5132423414210424
64451315515041
7520420150336
oct116033771401
930033034557
1010476319489
114496677989
1220445b8a81
13cac5a0b1c
1471551298d
15414ae99e4
hex2706ff301

10476319489 has 2 divisors, whose sum is σ = 10476319490. Its totient is φ = 10476319488.

The previous prime is 10476319487. The next prime is 10476319499. The reversal of 10476319489 is 98491367401.

10476319489 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., 7343118864 + 3133200625 = 85692^2 + 55975^2 .

It is a cyclic number.

It is not a de Polignac number, because 10476319489 - 21 = 10476319487 is a prime.

It is a super-2 number, since 2×104763194892 (a number of 21 digits) contains 22 as substring.

Together with 10476319487, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10476319487) 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, 5238159744 + 5238159745.

It is an arithmetic number, because the mean of its divisors is an integer number (5238159745).

Almost surely, 210476319489 is an apocalyptic number.

It is an amenable number.

10476319489 is a deficient number, since it is larger than the sum of its proper divisors (1).

10476319489 is an equidigital number, since it uses as much as digits as its factorization.

10476319489 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 10476319489 in words is "ten billion, four hundred seventy-six million, three hundred nineteen thousand, four hundred eighty-nine".