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12341965824 = 210324433023
BaseRepresentation
bin10110111111010001…
…10111010000000000
31011212010120211021100
423133220313100000
5200234020401244
65400403054400
7614562656436
oct133750672000
934763524240
1012341965824
115263799661
122485371400
131218c66b76
148511d6d56
154c37bdb69
hex2dfa37400

12341965824 has 132 divisors (see below), whose sum is σ = 35729418816. Its totient is φ = 4103344128.

The previous prime is 12341965733. The next prime is 12341965859. The reversal of 12341965824 is 42856914321.

12341965824 is a `hidden beast` number, since 1 + 23 + 41 + 9 + 6 + 582 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12341965824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4081177 + ... + 4084199.

Almost surely, 212341965824 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 12341965824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17864709408).

12341965824 is an abundant number, since it is smaller than the sum of its proper divisors (23387452992).

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

12341965824 is a wasteful number, since it uses less digits than its factorization.

12341965824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492 (or 3471 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 12341965824 in words is "twelve billion, three hundred forty-one million, nine hundred sixty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 443 512 576 768 886 1024 1152 1329 1536 1772 2304 2658 3023 3072 3544 3987 4608 5316 6046 7088 7974 9069 9216 10632 12092 14176 15948 18138 21264 24184 27207 28352 31896 36276 42528 48368 54414 56704 63792 72552 85056 96736 108828 113408 127584 145104 170112 193472 217656 226816 255168 290208 340224 386944 435312 453632 510336 580416 680448 773888 870624 1020672 1160832 1339189 1360896 1547776 1741248 2041344 2321664 2678378 3095552 3482496 4017567 4082688 4643328 5356756 6964992 8035134 9286656 10713512 12052701 13929984 16070268 21427024 24105402 27859968 32140536 42854048 48210804 64281072 85708096 96421608 128562144 171416192 192843216 257124288 342832384 385686432 514248576 685664768 771372864 1028497152 1371329536 1542745728 2056994304 3085491456 4113988608 6170982912 12341965824