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6665445666 = 23311292391619
BaseRepresentation
bin1100011010100101…
…01010000100100010
3122012112012201112000
412031102222010202
5102122323230131
63021223344430
7324114232125
oct61522520442
918175181460
106665445666
112910519a90
1213602b2116
13822bca1b9
144733503bc
15290281ce6
hex18d4aa122

6665445666 has 128 divisors (see below), whose sum is σ = 16796160000. Its totient is φ = 1940823360.

The previous prime is 6665445643. The next prime is 6665445667.

6665445666 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (6665445667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4116205 + ... + 4117823.

It is an arithmetic number, because the mean of its divisors is an integer number (131220000).

Almost surely, 26665445666 is an apocalyptic number.

6665445666 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6665445666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8398080000).

6665445666 is an abundant number, since it is smaller than the sum of its proper divisors (10130714334).

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

6665445666 is a wasteful number, since it uses less digits than its factorization.

6665445666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1903 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The square root of 6665445666 is about 81642.1806788623. The cubic root of 6665445666 is about 1881.9571501848.

The spelling of 6665445666 in words is "six billion, six hundred sixty-five million, four hundred forty-five thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 174 198 239 261 297 319 478 522 594 638 717 783 957 1434 1566 1619 1914 2151 2629 2871 3238 4302 4857 5258 5742 6453 6931 7887 8613 9714 12906 13862 14571 15774 17226 17809 20793 23661 29142 35618 41586 43713 46951 47322 53427 62379 70983 76241 87426 93902 106854 124758 140853 141966 152482 160281 187137 228723 281706 320562 374274 386941 422559 457446 480843 516461 686169 773882 845118 961686 1032922 1160823 1267677 1372338 1549383 2058507 2321646 2535354 3098766 3482469 4117014 4256351 4648149 6964938 8512702 9296298 10447407 11221289 12769053 13944447 20894814 22442578 25538106 27888894 33663867 38307159 67327734 76614318 100991601 114921477 123434179 201983202 229842954 246868358 302974803 370302537 605949606 740605074 1110907611 2221815222 3332722833 6665445666