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66164238 = 23271722379
BaseRepresentation
bin1111110001100…
…1011000001110
311121111111021100
43330121120032
5113414223423
610322043530
71432246440
oct374313016
9147444240
1066164238
1134391198
121a1a95a6
131092794a
148b04490
155c1e343
hex3f1960e

66164238 has 144 divisors (see below), whose sum is σ = 183905280. Its totient is φ = 16803072.

The previous prime is 66164183. The next prime is 66164239. The reversal of 66164238 is 83246166.

66164238 is a `hidden beast` number, since 6 + 6 + 1 + 642 + 3 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66164239) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 837483 + ... + 837561.

It is an arithmetic number, because the mean of its divisors is an integer number (1277120).

Almost surely, 266164238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66164238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91952640).

66164238 is an abundant number, since it is smaller than the sum of its proper divisors (117741042).

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

66164238 is a wasteful number, since it uses less digits than its factorization.

66164238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 66164238 is about 8134.1402741777. The cubic root of 66164238 is about 404.4589391271.

The spelling of 66164238 in words is "sixty-six million, one hundred sixty-four thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 23 34 42 46 51 63 69 79 102 119 126 138 153 158 161 207 237 238 289 306 322 357 391 414 474 483 553 578 711 714 782 867 966 1071 1106 1173 1343 1422 1449 1659 1734 1817 2023 2142 2346 2601 2686 2737 2898 3318 3519 3634 4029 4046 4977 5202 5451 5474 6069 6647 7038 8058 8211 9401 9954 10902 12087 12138 12719 13294 16353 16422 18207 18802 19941 22831 24174 24633 25438 28203 30889 32706 36414 38157 39882 45662 46529 49266 56406 59823 61778 68493 76314 84609 92667 93058 114471 119646 136986 139587 159817 169218 185334 205479 216223 228942 278001 279174 319634 410958 418761 432446 479451 525113 556002 648669 837522 958902 1050226 1297338 1438353 1575339 1946007 2876706 3150678 3675791 3892014 4726017 7351582 9452034 11027373 22054746 33082119 66164238