Search a number
-
+
12276060816 = 2431997151919
BaseRepresentation
bin10110110111011010…
…11101001010010000
31011200112120111121010
423123231131022100
5200120132421231
65350050330520
7613132536525
oct133355351220
934615514533
1012276060816
11522a575208
122467289a40
131208400216
1484655d14c
154bcb01546
hex2dbb5d290

12276060816 has 160 divisors (see below), whose sum is σ = 33986713600. Its totient is φ = 3807129600.

The previous prime is 12276060809. The next prime is 12276060821. The reversal of 12276060816 is 61806067221.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13357605 + ... + 13358523.

It is an arithmetic number, because the mean of its divisors is an integer number (212416960).

Almost surely, 212276060816 is an apocalyptic number.

12276060816 is a gapful number since it is divisible by the number (16) 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 12276060816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16993356800).

12276060816 is an abundant number, since it is smaller than the sum of its proper divisors (21710652784).

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

12276060816 is a wasteful number, since it uses less digits than its factorization.

12276060816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 12276060816 in words is "twelve billion, two hundred seventy-six million, sixty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 97 114 151 152 194 228 291 302 304 388 453 456 582 604 776 906 912 919 1164 1208 1552 1812 1838 1843 2328 2416 2757 2869 3624 3676 3686 4656 5514 5529 5738 7248 7352 7372 8607 11028 11058 11476 14647 14704 14744 17214 17461 22056 22116 22952 29294 29488 34428 34922 43941 44112 44232 45904 52383 58588 68856 69844 87882 88464 89143 104766 117176 137712 138769 139688 175764 178286 209532 234352 267429 277538 278293 279376 351528 356572 416307 419064 534858 555076 556586 703056 713144 832614 834879 838128 1069716 1110152 1113172 1426288 1665228 1669758 1693717 2139432 2220304 2226344 2636611 3330456 3339516 3387434 4278864 4452688 5081151 5273222 6660912 6679032 6774868 7909833 10162302 10546444 13358064 13460593 13549736 15819666 20324604 21092888 26921186 27099472 31639332 40381779 40649208 42185776 53842372 63278664 80763558 81298416 107684744 126557328 161527116 215369488 255751267 323054232 511502534 646108464 767253801 1023005068 1534507602 2046010136 3069015204 4092020272 6138030408 12276060816