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12584000369 is a prime number
BaseRepresentation
bin10111011100001000…
…01001101101110001
31012111000000110020202
423232010021231301
5201233001002434
65440410444545
7623562144503
oct135604115561
935430013222
1012584000369
115378381806
122532433755
13125714aa85
148753dbd73
154d9b7ca7e
hex2ee109b71

12584000369 has 2 divisors, whose sum is σ = 12584000370. Its totient is φ = 12584000368.

The previous prime is 12584000323. The next prime is 12584000393. The reversal of 12584000369 is 96300048521.

It is a happy number.

12584000369 is digitally balanced in base 2, 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., 9593223025 + 2990777344 = 97945^2 + 54688^2 .

It is an emirp because it is prime and its reverse (96300048521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12584000369 - 28 = 12584000113 is a prime.

It is a super-2 number, since 2×125840003692 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12584000669) 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, 6292000184 + 6292000185.

It is an arithmetic number, because the mean of its divisors is an integer number (6292000185).

Almost surely, 212584000369 is an apocalyptic number.

It is an amenable number.

12584000369 is a deficient number, since it is larger than the sum of its proper divisors (1).

12584000369 is an equidigital number, since it uses as much as digits as its factorization.

12584000369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 12584000369 in words is "twelve billion, five hundred eighty-four million, three hundred sixty-nine", and thus it is an aban number.