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12700893184 = 2147591877
BaseRepresentation
bin10111101010000100…
…00100000000000000
31012210010222020001021
423311002010000000
5202002412040214
65500144115224
7626511545050
oct136502040000
935703866037
1012700893184
115428361041
122565605b14
131275427615
14886b49560
154e506c924
hex2f5084000

12700893184 has 120 divisors (see below), whose sum is σ = 29537484480. Its totient is φ = 5348130816.

The previous prime is 12700893169. The next prime is 12700893199. The reversal of 12700893184 is 48139800721.

It is an interprime number because it is at equal distance from previous prime (12700893169) and next prime (12700893199).

It is a super-2 number, since 2×127008931842 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12700893184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6765654 + ... + 6767530.

It is an arithmetic number, because the mean of its divisors is an integer number (246145704).

Almost surely, 212700893184 is an apocalyptic number.

12700893184 is a gapful number since it is divisible by the number (14) 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 12700893184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14768742240).

12700893184 is an abundant number, since it is smaller than the sum of its proper divisors (16836591296).

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

12700893184 is an frugal number, since it uses more digits than its factorization.

12700893184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 12700893184 in words is "twelve billion, seven hundred million, eight hundred ninety-three thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 224 236 256 413 448 472 512 826 896 944 1024 1652 1792 1877 1888 2048 3304 3584 3754 3776 4096 6608 7168 7508 7552 8192 13139 13216 14336 15016 15104 16384 26278 26432 28672 30032 30208 52556 52864 57344 60064 60416 105112 105728 110743 114688 120128 120832 210224 211456 221486 240256 241664 420448 422912 442972 480512 483328 775201 840896 845824 885944 961024 966656 1550402 1681792 1691648 1771888 1922048 3100804 3363584 3383296 3543776 3844096 6201608 6727168 6766592 7087552 7688192 12403216 13454336 14175104 15376384 24806432 26908672 28350208 30752768 49612864 53817344 56700416 99225728 107634688 113400832 198451456 215269376 226801664 396902912 453603328 793805824 907206656 1587611648 1814413312 3175223296 6350446592 12700893184