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66334164 = 223135371113
BaseRepresentation
bin1111110100001…
…0110111010100
311121211010100220
43331002313110
5113440143124
610325434340
71433555031
oct375026724
9147733326
1066334164
1134497926
121a26b9b0
13109870b0
148b4a388
155c54879
hex3f42dd4

66334164 has 96 divisors (see below), whose sum is σ = 173746944. Its totient is φ = 19568640.

The previous prime is 66334159. The next prime is 66334207. The reversal of 66334164 is 46143366.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586972 + ... + 587084.

It is an arithmetic number, because the mean of its divisors is an integer number (1809864).

Almost surely, 266334164 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 66334164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86873472).

66334164 is an abundant number, since it is smaller than the sum of its proper divisors (107412780).

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

66334164 is a wasteful number, since it uses less digits than its factorization.

66334164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 66334164 is about 8144.5788104726. The cubic root of 66334164 is about 404.8048930679.

The spelling of 66334164 in words is "sixty-six million, three hundred thirty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 71 78 106 113 142 156 159 212 213 226 284 318 339 426 452 636 678 689 852 923 1356 1378 1469 1846 2067 2756 2769 2938 3692 3763 4134 4407 5538 5876 5989 7526 8023 8268 8814 11076 11289 11978 15052 16046 17628 17967 22578 23956 24069 32092 35934 45156 48138 48919 71868 77857 96276 97838 104299 146757 155714 195676 208598 233571 293514 311428 312897 417196 425219 467142 587028 625794 850438 934284 1251588 1275657 1700876 2551314 5102628 5527847 11055694 16583541 22111388 33167082 66334164