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12841280226 = 23219319471279
BaseRepresentation
bin10111111010110011…
…00110001011100010
31020010221010121212100
423331121212023202
5202244331431401
65522121111230
7633135036525
oct137531461342
936127117770
1012841280226
11549a627995
1225a4628516
13129853bb88
1489b650bbc
1550254db86
hex2fd6662e2

12841280226 has 96 divisors (see below), whose sum is σ = 30287462400. Its totient is φ = 3917121120.

The previous prime is 12841280219. The next prime is 12841280239. The reversal of 12841280226 is 62208214821.

12841280226 is a `hidden beast` number, since 12 + 8 + 412 + 8 + 0 + 226 = 666.

It is a super-2 number, since 2×128412802262 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10039455 + ... + 10040733.

It is an arithmetic number, because the mean of its divisors is an integer number (315494400).

Almost surely, 212841280226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12841280226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15143731200).

12841280226 is an abundant number, since it is smaller than the sum of its proper divisors (17446182174).

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

12841280226 is a wasteful number, since it uses less digits than its factorization.

12841280226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12841280226 in words is "twelve billion, eight hundred forty-one million, two hundred eighty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 947 1178 1279 1767 1894 2558 2841 3534 3837 5301 5682 7674 8523 10602 11511 17046 17993 23022 24301 29357 35986 39649 48602 53979 58714 72903 79298 88071 107958 118947 145806 161937 176142 218709 237894 264213 323874 356841 437418 528426 557783 713682 753331 1115566 1211213 1506662 1673349 2259993 2422426 3346698 3633639 4519986 5020047 6779979 7267278 10040094 10900917 13559958 21801834 23013047 37547603 46026094 69039141 75095206 112642809 138078282 207117423 225285618 337928427 414234846 675856854 713404457 1426808914 2140213371 4280426742 6420640113 12841280226