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12584324509 = 293130133013
BaseRepresentation
bin10111011100001010…
…11000110110011101
31012111000121220212221
423232011120312131
5201233041341014
65440421425341
7623564664511
oct135605306635
935430556787
1012584324509
115378583299
12253256b251
131257232483
14875484141
154d9be3b24
hex2ee158d9d

12584324509 has 8 divisors (see below), whose sum is σ = 12637363032. Its totient is φ = 12531355200.

The previous prime is 12584324491. The next prime is 12584324521. The reversal of 12584324509 is 90542348521.

It can be written as a sum of positive squares in 4 ways, for example, as 175032900 + 12409291609 = 13230^2 + 111397^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12584324509 - 211 = 12584322461 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12584324569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364687 + ... + 397699.

It is an arithmetic number, because the mean of its divisors is an integer number (1579670379).

Almost surely, 212584324509 is an apocalyptic number.

It is an amenable number.

12584324509 is a deficient number, since it is larger than the sum of its proper divisors (53038523).

12584324509 is a wasteful number, since it uses less digits than its factorization.

12584324509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34607.

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 12584324509 in words is "twelve billion, five hundred eighty-four million, three hundred twenty-four thousand, five hundred nine".

Divisors: 1 293 1301 33013 381193 9672809 42949913 12584324509