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12073263400 = 2352115779511
BaseRepresentation
bin10110011111001111…
…10110000100101000
31011011101222022211201
423033213312010220
5144211223412100
65314003533544
7605121021442
oct131747660450
934141868751
1012073263400
115136051540
12240b38a2b4
1311a53a6853
1482764d492
154a9de336a
hex2cf9f6128

12073263400 has 96 divisors (see below), whose sum is σ = 30678482880. Its totient is φ = 4382208000.

The previous prime is 12073263311. The next prime is 12073263427. The reversal of 12073263400 is 436237021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1264645 + ... + 1274155.

It is an arithmetic number, because the mean of its divisors is an integer number (319567530).

Almost surely, 212073263400 is an apocalyptic number.

12073263400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12073263400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15339241440).

12073263400 is an abundant number, since it is smaller than the sum of its proper divisors (18605219480).

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

12073263400 is a wasteful number, since it uses less digits than its factorization.

12073263400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10115 (or 10106 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The spelling of 12073263400 in words is "twelve billion, seventy-three million, two hundred sixty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 577 1100 1154 2200 2308 2885 4616 5770 6347 9511 11540 12694 14425 19022 23080 25388 28850 31735 38044 47555 50776 57700 63470 76088 95110 104621 115400 126940 158675 190220 209242 237775 253880 317350 380440 418484 475550 523105 634700 836968 951100 1046210 1269400 1902200 2092420 2615525 4184840 5231050 5487847 10462100 10975694 20924200 21951388 27439235 43902776 54878470 60366317 109756940 120732634 137196175 219513880 241465268 274392350 301831585 482930536 548784700 603663170 1097569400 1207326340 1509157925 2414652680 3018315850 6036631700 12073263400