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12324204544 = 21243167419
BaseRepresentation
bin10110111101001010…
…00111000000000000
31011210220011110101011
423132211013000000
5200214444021134
65354530250304
7614256003331
oct133645070000
934726143334
1012324204544
115254768313
12247b426994
131215388732
1484cad2288
154c1e61264
hex2de947000

12324204544 has 104 divisors (see below), whose sum is σ = 25430106240. Its totient is φ = 5968478208.

The previous prime is 12324204539. The next prime is 12324204547. The reversal of 12324204544 is 44540242321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12324204547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29413167 + ... + 29413585.

Almost surely, 212324204544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12324204544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12715053120).

12324204544 is an abundant number, since it is smaller than the sum of its proper divisors (13105901696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12324204544 is an equidigital number, since it uses as much as digits as its factorization.

12324204544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 12324204544 its reverse (44540242321), we get a palindrome (56864446865).

The spelling of 12324204544 in words is "twelve billion, three hundred twenty-four million, two hundred four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 167 172 256 334 344 419 512 668 688 838 1024 1336 1376 1676 2048 2672 2752 3352 4096 5344 5504 6704 7181 10688 11008 13408 14362 18017 21376 22016 26816 28724 36034 42752 44032 53632 57448 69973 72068 85504 88064 107264 114896 139946 144136 171008 176128 214528 229792 279892 288272 342016 429056 459584 559784 576544 684032 858112 919168 1119568 1153088 1716224 1838336 2239136 2306176 3008839 3676672 4478272 4612352 6017678 7353344 8956544 9224704 12035356 14706688 17913088 18449408 24070712 29413376 35826176 36898816 48141424 71652352 73797632 96282848 143304704 192565696 286609408 385131392 770262784 1540525568 3081051136 6162102272 12324204544