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66323868 = 223131789281
BaseRepresentation
bin1111110100000…
…0010110011100
311121210121020120
43331000112130
5113434330433
610325314540
71433513022
oct375002634
9147717216
1066323868
1134490116
121a265a50
13109824c0
148b46712
155c517b3
hex3f4059c

66323868 has 96 divisors (see below), whose sum is σ = 179081280. Its totient is φ = 18923520.

The previous prime is 66323861. The next prime is 66323879. The reversal of 66323868 is 86832366.

66323868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66323861) 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 31 ways as a sum of consecutive naturals, for example, 235888 + ... + 236168.

It is an arithmetic number, because the mean of its divisors is an integer number (1865430).

Almost surely, 266323868 is an apocalyptic number.

66323868 is a gapful number since it is divisible by the number (68) 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 66323868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89540640).

66323868 is an abundant number, since it is smaller than the sum of its proper divisors (112757412).

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

66323868 is a wasteful number, since it uses less digits than its factorization.

66323868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 405 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 66323868 is about 8143.9467090594. The cubic root of 66323868 is about 404.7839481702.

It can be divided in two parts, 663 and 23868, that multiplied together give a square (15824484 = 39782).

The spelling of 66323868 in words is "sixty-six million, three hundred twenty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 89 102 156 178 204 221 267 281 356 442 534 562 663 843 884 1068 1124 1157 1326 1513 1686 2314 2652 3026 3372 3471 3653 4539 4628 4777 6052 6942 7306 9078 9554 10959 13884 14331 14612 18156 19108 19669 21918 25009 28662 39338 43836 50018 57324 59007 62101 75027 78676 100036 118014 124202 150054 186303 236028 248404 300108 325117 372606 425153 650234 745212 850306 975351 1275459 1300468 1700612 1950702 2550918 3901404 5101836 5526989 11053978 16580967 22107956 33161934 66323868