Search a number
-
+
12863335510116 = 2234713436281899
BaseRepresentation
bin1011101100101111101010…
…0010110011000001100100
31200112201111222011010020000
42323023322202303001210
53141223102342310431
643205200150141300
72465226305532360
oct273137242630144
950481458133200
1012863335510116
11410a345604793
121539001051830
1372401315c760
143268357b82a0
151749116ce9e6
hexbb2fa8b3064

12863335510116 has 120 divisors (see below), whose sum is σ = 41387446161600. Its totient is φ = 3392528038848.

The previous prime is 12863335510097. The next prime is 12863335510139. The reversal of 12863335510116 is 61101553336821.

12863335510116 is a `hidden beast` number, since 1 + 2 + 8 + 63 + 33 + 551 + 0 + 1 + 1 + 6 = 666.

12863335510116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×128633355101162 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 218111466 + ... + 218170433.

It is an arithmetic number, because the mean of its divisors is an integer number (344895384680).

Almost surely, 212863335510116 is an apocalyptic number.

It is an amenable number.

12863335510116 is an abundant number, since it is smaller than the sum of its proper divisors (28524110651484).

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

12863335510116 is a wasteful number, since it uses less digits than its factorization.

12863335510116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436281935 (or 436281924 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

Adding to 12863335510116 its reverse (61101553336821), we get a palindrome (73964888846937).

It can be divided in two parts, 1286333 and 5510116, that added together give a square (6796449 = 26072).

The spelling of 12863335510116 in words is "twelve trillion, eight hundred sixty-three billion, three hundred thirty-five million, five hundred ten thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 2106 2268 2457 3276 4212 4914 7371 9828 14742 29484 436281899 872563798 1308845697 1745127596 2617691394 3053973293 3926537091 5235382788 5671664687 6107946586 7853074182 9161919879 11343329374 11779611273 12215893172 15706148364 17014994061 18323839758 22686658748 23559222546 27485759637 34029988122 35338833819 36647679516 39701652809 47118445092 51044982183 54971519274 68059976244 70677667638 79403305618 82457278911 102089964366 109943038548 119104958427 141355335276 153134946549 158806611236 164914557822 204179928732 238209916854 247371836733 306269893098 329829115644 357314875281 459404839647 476419833708 494743673466 612539786196 714629750562 918809679294 989487346932 1071944625843 1429259501124 1837619358588 2143889251686 3215833877529 4287778503372 6431667755058 12863335510116