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12823205645 = 529312852771
BaseRepresentation
bin10111111000101001…
…01001011100001101
31020002200010100012102
423330110221130031
5202230220040040
65520233444445
7632525310125
oct137424513415
936080110172
1012823205645
115490402218
12259a570725
131294880c63
148990a7c85
15500b7d515
hex2fc52970d

12823205645 has 16 divisors (see below), whose sum is σ = 16431966720. Its totient is φ = 9585307200.

The previous prime is 12823205579. The next prime is 12823205657. The reversal of 12823205645 is 54650232821.

It is a happy number.

It is not a de Polignac number, because 12823205645 - 226 = 12756096781 is a prime.

It is a super-3 number, since 3×128232056453 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12823205599 and 12823205608.

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, 1421891 + ... + 1430880.

It is an arithmetic number, because the mean of its divisors is an integer number (1026997920).

Almost surely, 212823205645 is an apocalyptic number.

It is an amenable number.

12823205645 is a deficient number, since it is larger than the sum of its proper divisors (3608761075).

12823205645 is a wasteful number, since it uses less digits than its factorization.

12823205645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852836.

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 12823205645 in words is "twelve billion, eight hundred twenty-three million, two hundred five thousand, six hundred forty-five".

Divisors: 1 5 29 31 145 155 899 4495 2852771 14263855 82730359 88435901 413651795 442179505 2564641129 12823205645