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6660060660 = 22325113363667
BaseRepresentation
bin1100011001111100…
…00111010111110100
3122012011002010200100
412030332013113310
5102114433420120
63020512114100
7324020403321
oct61476072764
918164063610
106660060660
112908481170
12135a535930
13821a630c6
1447274bb48
1528ea6b490
hex18cf875f4

6660060660 has 72 divisors (see below), whose sum is σ = 22038752736. Its totient is φ = 1614559680.

The previous prime is 6660060647. The next prime is 6660060661. The reversal of 6660060660 is 660600666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6660060661) by changing a digit.

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, 1679854 + ... + 1683813.

It is an arithmetic number, because the mean of its divisors is an integer number (306093788).

Almost surely, 26660060660 is an apocalyptic number.

6660060660 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6660060660 is an abundant number, since it is smaller than the sum of its proper divisors (15378692076).

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

6660060660 is a wasteful number, since it uses less digits than its factorization.

6660060660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363693 (or 3363688 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 6660060660 is about 81609.1947025579. The cubic root of 6660060660 is about 1881.4502032900.

It can be divided in two parts, 66600606 and 60, that added together give a palindrome (66600666).

The spelling of 6660060660 in words is "six billion, six hundred sixty million, sixty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 3363667 6727334 10091001 13454668 16818335 20182002 30273003 33636670 37000337 40364004 50455005 60546006 67273340 74000674 100910010 111001011 121092012 148001348 151365015 185001685 201820020 222002022 302730030 333003033 370003370 444004044 555005055 605460060 666006066 740006740 1110010110 1332012132 1665015165 2220020220 3330030330 6660060660