Search a number
-
+
218161818216 = 233246315234297
BaseRepresentation
bin1100101100101101110…
…1010010101001101000
3202212010001221122101100
43023023131102221220
512033243411140331
6244115552521400
721522152600226
oct3131335225150
9685101848340
10218161818216
1184581728021
1236345b50260
1317759c28984
14a7b81d1b16
155a1cb43ae6
hex32cb752a68

218161818216 has 96 divisors (see below), whose sum is σ = 592657752960. Its totient is φ = 72499021056.

The previous prime is 218161818191. The next prime is 218161818257. The reversal of 218161818216 is 612818161812.

218161818216 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 618 + 1 + 8 + 21 + 6 = 666.

218161818216 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2181618182162 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50768580 + ... + 50772876.

It is an arithmetic number, because the mean of its divisors is an integer number (6173518260).

Almost surely, 2218161818216 is an apocalyptic number.

It is an amenable number.

218161818216 is an abundant number, since it is smaller than the sum of its proper divisors (374495934744).

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

218161818216 is a wasteful number, since it uses less digits than its factorization.

218161818216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295 (or 6288 counting only the distinct ones).

The product of its digits is 73728, while the sum is 45.

The spelling of 218161818216 in words is "two hundred eighteen billion, one hundred sixty-one million, eight hundred eighteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 463 926 1389 1523 1852 2778 3046 3704 4167 4297 4569 5556 6092 8334 8594 9138 11112 12184 12891 13707 16668 17188 18276 25782 27414 33336 34376 36552 38673 51564 54828 77346 103128 109656 154692 309384 705149 1410298 1989511 2115447 2820596 3979022 4230894 5641192 5968533 6346341 6544331 7958044 8461788 11937066 12692682 13088662 15916088 16923576 17905599 19632993 23874132 25385364 26177324 35811198 39265986 47748264 50770728 52354648 58898979 71622396 78531972 117797958 143244792 157063944 235595916 471191832 3030025253 6060050506 9090075759 12120101012 18180151518 24240202024 27270227277 36360303036 54540454554 72720606072 109080909108 218161818216