Search a number
-
+
12317599856772 = 223271032631804399
BaseRepresentation
bin1011001100111110101000…
…1010011111100010000100
31121121112212201020111020200
42303033222022133202010
53103302421030404042
642110343253130500
72410626415160550
oct263175212374204
947545781214220
1012317599856772
113a19956aaaa81
12146b297329a30
136b471088a212
1430826434a860
15165620796c4c
hexb33ea29f884

12317599856772 has 144 divisors (see below), whose sum is σ = 36066289459200. Its totient is φ = 3471892714944.

The previous prime is 12317599856761. The next prime is 12317599856801. The reversal of 12317599856772 is 27765899571321.

It is a happy number.

12317599856772 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 7 + 59 + 9 + 8 + 567 + 7 + 2 = 666.

12317599856772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12317599856772.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5924229 + ... + 7728627.

Almost surely, 212317599856772 is an apocalyptic number.

12317599856772 is a gapful number since it is divisible by the number (12) 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 12317599856772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18033144729600).

12317599856772 is an abundant number, since it is smaller than the sum of its proper divisors (23748689602428).

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

12317599856772 is a wasteful number, since it uses less digits than its factorization.

12317599856772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804782 (or 1804777 counting only the distinct ones).

The product of its digits is 400075200, while the sum is 72.

The spelling of 12317599856772 in words is "twelve trillion, three hundred seventeen billion, five hundred ninety-nine million, eight hundred fifty-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 126 206 252 263 309 412 526 618 721 789 927 1052 1236 1442 1578 1841 1854 2163 2367 2884 3156 3682 3708 4326 4734 5523 6489 7364 8652 9468 11046 12978 16569 22092 25956 27089 33138 54178 66276 81267 108356 162534 189623 243801 325068 379246 487602 568869 758492 975204 1137738 1706607 1804399 2275476 3413214 3608798 5413197 6826428 7217596 10826394 12630793 16239591 21652788 25261586 32479182 37892379 50523172 64958364 75784758 113677137 151569516 185853097 227354274 371706194 454708548 474556937 557559291 743412388 949113874 1115118582 1300971679 1423670811 1672677873 1898227748 2230237164 2601943358 2847341622 3321898559 3345355746 3902915037 4271012433 5203886716 5694683244 6643797118 6690711492 7805830074 8542024866 9965695677 11708745111 13287594236 15611660148 17084049732 19931391354 23417490222 29897087031 39862782708 46834980444 48879364511 59794174062 97758729022 119588348124 146638093533 195517458044 293276187066 342155551577 439914280599 586552374132 684311103154 879828561198 1026466654731 1368622206308 1759657122396 2052933309462 3079399964193 4105866618924 6158799928386 12317599856772