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6643533660 = 22354723310111
BaseRepresentation
bin1100010111111110…
…00100011101011100
3122010222222110220020
412023333010131130
5102101221034120
63015121552140
7323430050541
oct61377043534
918128873806
106643533660
1128aa113195
121354aa5650
1381b4c770a
14470488bc8
1528d3a4640
hex18bfc475c

6643533660 has 96 divisors (see below), whose sum is σ = 19081101312. Its totient is φ = 1726302720.

The previous prime is 6643533599. The next prime is 6643533671. The reversal of 6643533660 is 663353466.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 652005 + ... + 662115.

It is an arithmetic number, because the mean of its divisors is an integer number (198761472).

Almost surely, 26643533660 is an apocalyptic number.

6643533660 is a gapful number since it is divisible by the number (60) 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 6643533660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9540550656).

6643533660 is an abundant number, since it is smaller than the sum of its proper divisors (12437567652).

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

6643533660 is a wasteful number, since it uses less digits than its factorization.

6643533660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10403 (or 10401 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 42.

The square root of 6643533660 is about 81507.8748342760. The cubic root of 6643533660 is about 1879.8926357127.

The spelling of 6643533660 in words is "six billion, six hundred forty-three million, five hundred thirty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 233 235 282 466 470 564 699 705 932 940 1165 1398 1410 2330 2796 2820 3495 4660 6990 10111 10951 13980 20222 21902 30333 32853 40444 43804 50555 54755 60666 65706 101110 109510 121332 131412 151665 164265 202220 219020 303330 328530 475217 606660 657060 950434 1425651 1900868 2355863 2376085 2851302 4711726 4752170 5702604 7067589 7128255 9423452 9504340 11779315 14135178 14256510 23558630 28270356 28513020 35337945 47117260 70675890 110725561 141351780 221451122 332176683 442902244 553627805 664353366 1107255610 1328706732 1660883415 2214511220 3321766830 6643533660