Search a number
-
+
209207064060 = 223215
BaseRepresentation
bin1100001011010110110…
…1100111010111111100
3202000000000000000000000
43002311231213113330
511411424002022220
6240035225234300
721054226463241
oct3026555472774
9660000000000
10209207064060
11807a6a2a755
1234667032990
131696095ab87
14a1a8bd75c8
155696903390
hex30b5b675fc

209207064060 has 132 divisors (see below), whose sum is σ = 659002251768. Its totient is φ = 55788550416.

The previous prime is 209207064047. The next prime is 209207064091. The reversal of 209207064060 is 60460702902.

It is a happy number.

209207064060 is a `hidden beast` number, since 2 + 0 + 9 + 2 + 0 + 7 + 0 + 640 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 41841412810 + ... + 41841412814.

Almost surely, 2209207064060 is an apocalyptic number.

209207064060 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 209207064060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329501125884).

209207064060 is an abundant number, since it is smaller than the sum of its proper divisors (449795187708).

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

209207064060 is an frugal number, since it uses more digits than its factorization.

209207064060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 209207064060 its reverse (60460702902), we get a palindrome (269667766962).

The spelling of 209207064060 in words is "two hundred nine billion, two hundred seven million, sixty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2187 2430 2916 3645 4374 4860 6561 7290 8748 10935 13122 14580 19683 21870 26244 32805 39366 43740 59049 65610 78732 98415 118098 131220 177147 196830 236196 295245 354294 393660 531441 590490 708588 885735 1062882 1180980 1594323 1771470 2125764 2657205 3188646 3542940 4782969 5314410 6377292 7971615 9565938 10628820 14348907 15943230 19131876 23914845 28697814 31886460 43046721 47829690 57395628 71744535 86093442 95659380 129140163 143489070 172186884 215233605 258280326 286978140 387420489 430467210 516560652 645700815 774840978 860934420 1162261467 1291401630 1549681956 1937102445 2324522934 2582803260 3486784401 3874204890 4649045868 5811307335 6973568802 7748409780 10460353203 11622614670 13947137604 17433922005 20920706406 23245229340 34867844010 41841412812 52301766015 69735688020 104603532030 209207064060