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66165528 = 233111321483
BaseRepresentation
bin1111110001100…
…1101100011000
311121111120001010
43330121230120
5113414244103
610322053520
71432253262
oct374315430
9147446033
1066165528
1134392160
121a1aa2a0
1310928400
148b04b32
155c1e903
hex3f19b18

66165528 has 96 divisors (see below), whose sum is σ = 195531840. Its totient is φ = 18495360.

The previous prime is 66165527. The next prime is 66165557. The reversal of 66165528 is 82556166.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66165527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43875 + ... + 45357.

It is an arithmetic number, because the mean of its divisors is an integer number (2036790).

Almost surely, 266165528 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 66165528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97765920).

66165528 is an abundant number, since it is smaller than the sum of its proper divisors (129366312).

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

66165528 is a wasteful number, since it uses less digits than its factorization.

66165528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1512 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 66165528 is about 8134.2195692027. The cubic root of 66165528 is about 404.4615676802.

The spelling of 66165528 in words is "sixty-six million, one hundred sixty-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 169 264 286 312 338 429 507 572 676 858 1014 1144 1352 1483 1716 1859 2028 2966 3432 3718 4056 4449 5577 5932 7436 8898 11154 11864 14872 16313 17796 19279 22308 32626 35592 38558 44616 48939 57837 65252 77116 97878 115674 130504 154232 195756 212069 231348 250627 391512 424138 462696 501254 636207 751881 848276 1002508 1272414 1503762 1696552 2005016 2544828 2756897 3007524 5089656 5513794 6015048 8270691 11027588 16541382 22055176 33082764 66165528