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66165372 = 2232713191063
BaseRepresentation
bin1111110001100…
…1101001111100
311121111112211100
43330121221330
5113414242442
610322053100
71432252650
oct374315174
9147445740
1066165372
1134392029
121a1aa190
1310928310
148b04a60
155c1e84c
hex3f19a7c

66165372 has 144 divisors (see below), whose sum is σ = 216885760. Its totient is φ = 16516224.

The previous prime is 66165367. The next prime is 66165389. The reversal of 66165372 is 27356166.

66165372 is a `hidden beast` number, since 6 + 616 + 5 + 37 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61713 + ... + 62775.

Almost surely, 266165372 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 66165372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108442880).

66165372 is an abundant number, since it is smaller than the sum of its proper divisors (150720388).

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

66165372 is a wasteful number, since it uses less digits than its factorization.

66165372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1107 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 66165372 is about 8134.2099800780. The cubic root of 66165372 is about 404.4612498104.

The spelling of 66165372 in words is "sixty-six million, one hundred sixty-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 182 228 234 247 252 266 273 342 364 399 468 494 532 546 684 741 798 819 988 1063 1092 1197 1482 1596 1638 1729 2126 2223 2394 2964 3189 3276 3458 4252 4446 4788 5187 6378 6916 7441 8892 9567 10374 12756 13819 14882 15561 19134 20197 20748 22323 27638 29764 31122 38268 40394 41457 44646 55276 60591 62244 66969 80788 82914 89292 96733 121182 124371 133938 141379 165828 181773 193466 242364 248742 262561 267876 282758 290199 363546 386932 424137 497484 525122 565516 580398 727092 787683 848274 870597 1050244 1160796 1272411 1575366 1696548 1741194 1837927 2363049 2544822 3150732 3482388 3675854 4726098 5089644 5513781 7351708 9452196 11027562 16541343 22055124 33082686 66165372