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66643332 = 223721759113
BaseRepresentation
bin1111111000111…
…0010110000100
311122101211110120
43332032112010
5114030041312
610340221540
71436313300
oct376162604
9148354416
1066643332
1134689138
121a39a8b0
1310a64a32
148bcad00
155cb628c
hex3f8e584

66643332 has 144 divisors (see below), whose sum is σ = 196499520. Its totient is φ = 17461248.

The previous prime is 66643319. The next prime is 66643333. The reversal of 66643332 is 23334666.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66643293 and 66643302.

It is not an unprimeable number, because it can be changed into a prime (66643333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589708 + ... + 589820.

It is an arithmetic number, because the mean of its divisors is an integer number (1364580).

Almost surely, 266643332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66643332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98249760).

66643332 is an abundant number, since it is smaller than the sum of its proper divisors (129856188).

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

66643332 is a wasteful number, since it uses less digits than its factorization.

66643332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 201 counting only the distinct ones).

The product of its digits is 46656, while the sum is 33.

The square root of 66643332 is about 8163.5367335488. The cubic root of 66643332 is about 405.4328187988.

Adding to 66643332 its reverse (23334666), we get a palindrome (89977998).

The spelling of 66643332 in words is "sixty-six million, six hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 59 68 84 98 102 113 118 119 147 177 196 204 226 236 238 294 339 354 357 413 452 476 588 678 708 714 791 826 833 1003 1239 1356 1428 1582 1652 1666 1921 2006 2373 2478 2499 2891 3009 3164 3332 3842 4012 4746 4956 4998 5537 5763 5782 6018 6667 7021 7684 8673 9492 9996 11074 11526 11564 12036 13334 13447 14042 16611 17346 20001 21063 22148 23052 26668 26894 28084 33222 34692 40002 40341 42126 46669 49147 53788 66444 80004 80682 84252 93338 94129 98294 113339 140007 147441 161364 186676 188258 196588 226678 280014 282387 294882 326683 340017 376516 453356 560028 564774 589764 653366 680034 793373 980049 1129548 1306732 1360068 1586746 1960098 2380119 3173492 3920196 4760238 5553611 9520476 11107222 16660833 22214444 33321666 66643332