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12286344460 = 22513534571951
BaseRepresentation
bin10110111000101001…
…01011110100001100
31011201020220222002211
423130110223310030
5200130301010320
65351055000204
7613316130145
oct133424536414
934636828084
1012286344460
115235359495
12246a809064
13120a590c10
14847a78acc
154bd98355a
hex2dc52bd0c

12286344460 has 96 divisors (see below), whose sum is σ = 28386796032. Its totient is φ = 4438886400.

The previous prime is 12286344457. The next prime is 12286344491. The reversal of 12286344460 is 6444368221.

12286344460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6296485 + ... + 6298435.

It is an arithmetic number, because the mean of its divisors is an integer number (295695792).

Almost surely, 212286344460 is an apocalyptic number.

12286344460 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 12286344460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14193398016).

12286344460 is an abundant number, since it is smaller than the sum of its proper divisors (16100451572).

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

12286344460 is a wasteful number, since it uses less digits than its factorization.

12286344460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 12286344460 in words is "twelve billion, two hundred eighty-six million, three hundred forty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 457 530 689 914 1060 1378 1828 1951 2285 2756 3445 3902 4570 5941 6890 7804 9140 9755 11882 13780 19510 23764 24221 25363 29705 39020 48442 50726 59410 96884 101452 103403 118820 121105 126815 206806 242210 253630 314873 413612 484420 507260 517015 629746 891607 1034030 1259492 1344239 1574365 1783214 2068060 2688478 3148730 3566428 4458035 5376956 6297460 6721195 8916070 11590891 13442390 17832140 23181782 26884780 46363564 47255171 57954455 94510342 115908910 189020684 231817820 236275855 472551710 614317223 945103420 1228634446 2457268892 3071586115 6143172230 12286344460