Search a number
-
+
66566290266 = 23373143132109
BaseRepresentation
bin111101111111101010…
…001111101101011010
320100211010012220122000
4331333222033231122
52042311432242031
650325150341430
74544401063050
oct757752175532
9210733186560
1066566290266
1126259a32133
1210a98aba876
13637ac4b148
1433169921d0
151ae8e4a3e6
hexf7fa8fb5a

66566290266 has 128 divisors (see below), whose sum is σ = 178570444800. Its totient is φ = 17977256640.

The previous prime is 66566290253. The next prime is 66566290267. The reversal of 66566290266 is 66209266566.

66566290266 is a `hidden beast` number, since 6 + 6 + 5 + 6 + 629 + 0 + 2 + 6 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66566290267) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 437820 + ... + 569928.

It is an arithmetic number, because the mean of its divisors is an integer number (1395081600).

Almost surely, 266566290266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66566290266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89285222400).

66566290266 is an abundant number, since it is smaller than the sum of its proper divisors (112004154534).

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

66566290266 is a wasteful number, since it uses less digits than its factorization.

66566290266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132201 (or 132195 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 66566290266 in words is "sixty-six billion, five hundred sixty-six million, two hundred ninety thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 43 54 62 63 86 93 126 129 186 189 217 258 279 301 378 387 434 558 602 651 774 837 903 1161 1302 1333 1674 1806 1953 2322 2666 2709 3906 3999 5418 5859 7998 8127 9331 11718 11997 16254 18662 23994 27993 35991 55986 71982 83979 132109 167958 251937 264218 396327 503874 792654 924763 1188981 1849526 2377962 2774289 3566943 4095379 5548578 5680687 7133886 8190758 8322867 11361374 12286137 16645734 17042061 24572274 24968601 28667653 34084122 36858411 39764809 49937202 51126183 57335306 73716822 79529618 86002959 102252366 110575233 119294427 153378549 172005918 176101297 221150466 238588854 258008877 306757098 352202594 357883281 516017754 528303891 715766562 774026631 1056607782 1073649843 1232709079 1548053262 1584911673 2147299686 2465418158 3169823346 3698127237 4754735019 7396254474 9509470038 11094381711 22188763422 33283145133 66566290266