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12823825565 = 518133734201
BaseRepresentation
bin10111111000101110…
…00000110010011101
31020002201021211120102
423330113000302131
5202230344404230
65520255030445
7632533501355
oct137427006235
936081254512
1012823825565
115490795a51
12259a80b425
131294a3a185
148991c9b65
15500c52045
hex2fc5c0c9d

12823825565 has 16 divisors (see below), whose sum is σ = 15481882416. Its totient is φ = 10196928000.

The previous prime is 12823825541. The next prime is 12823825571. The reversal of 12823825565 is 56552832821.

It can be written as a sum of positive squares in 8 ways, for example, as 1445976676 + 11377848889 = 38026^2 + 106667^2 .

It is not a de Polignac number, because 12823825565 - 212 = 12823821469 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3050465 + ... + 3054665.

It is an arithmetic number, because the mean of its divisors is an integer number (967617651).

Almost surely, 212823825565 is an apocalyptic number.

It is an amenable number.

12823825565 is a deficient number, since it is larger than the sum of its proper divisors (2658056851).

12823825565 is a wasteful number, since it uses less digits than its factorization.

12823825565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7760.

The product of its digits is 1152000, while the sum is 47.

The spelling of 12823825565 in words is "twelve billion, eight hundred twenty-three million, eight hundred twenty-five thousand, five hundred sixty-five".

Divisors: 1 5 181 905 3373 4201 16865 21005 610513 760381 3052565 3801905 14169973 70849865 2564765113 12823825565