Search a number
-
+
206668019058760 = 23572837351354799
BaseRepresentation
bin101110111111011010100101…
…110111001100100001001000
31000002202021021120212212022101
4232333122211313030201020
5204042022100334340020
62011313551031203144
761350162113200540
oct5677324567144110
91002667246785271
10206668019058760
115a93a461a30946
121b2197915164b4
138b4193119032c
143906add576320
1518d5d9960a00a
hexbbf6a5dcc848

206668019058760 has 128 divisors (see below), whose sum is σ = 533383953408000. Its totient is φ = 70597422201600.

The previous prime is 206668019058701. The next prime is 206668019058817. The reversal of 206668019058760 is 67850910866602.

It is a junction number, because it is equal to n+sod(n) for n = 206668019058692 and 206668019058701.

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, 582315841 + ... + 582670639.

It is an arithmetic number, because the mean of its divisors is an integer number (4167062136000).

Almost surely, 2206668019058760 is an apocalyptic number.

206668019058760 is a gapful number since it is divisible by the number (20) 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 206668019058760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266691976704000).

206668019058760 is an abundant number, since it is smaller than the sum of its proper divisors (326715934349240).

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

206668019058760 is a wasteful number, since it uses less digits than its factorization.

206668019058760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362451 (or 362447 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 64.

The spelling of 206668019058760 in words is "two hundred six trillion, six hundred sixty-eight billion, nineteen million, fifty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 283 566 1132 1415 1981 2264 2830 3962 5660 7351 7924 9905 11320 14702 15848 19810 29404 36755 39620 51457 58808 73510 79240 102914 147020 205828 257285 294040 354799 411656 514570 709598 1029140 1419196 1773995 2058280 2080333 2483593 2838392 3547990 4160666 4967186 7095980 8321332 9934372 10401665 12417965 14191960 14562331 16642664 19868744 20803330 24835930 29124662 41606660 49671860 58249324 72811655 83213320 99343720 100408117 116498648 145623310 200816234 291246620 401632468 502040585 582493240 702856819 803264936 1004081170 1405713638 2008162340 2608127449 2811427276 3514284095 4016324680 5216254898 5622854552 7028568190 10432509796 13040637245 14057136380 18256892143 20865019592 26081274490 28114272760 36513784286 52162548980 73027568572 91284460715 104325097960 146055137144 182568921430 365137842860 730275685720 738100068067 1476200136134 2952400272268 3690500340335 5166700476469 5904800544536 7381000680670 10333400952938 14762001361340 20666801905876 25833502382345 29524002722680 41333603811752 51667004764690 103334009529380 206668019058760