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66659112 = 23341341193
BaseRepresentation
bin1111111001001…
…0001100101000
311122102122010000
43332102030220
5114031042422
610340423000
71436410302
oct376221450
9148378100
1066659112
1134699a83
121a3a7a60
1310a6bc80
148bd2972
155cbacac
hex3f92328

66659112 has 160 divisors (see below), whose sum is σ = 207040680. Its totient is φ = 19906560.

The previous prime is 66659093. The next prime is 66659137. The reversal of 66659112 is 21195666.

66659112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19131876 + 47527236 = 4374^2 + 6894^2 .

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 345288 + ... + 345480.

Almost surely, 266659112 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 66659112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103520340).

66659112 is an abundant number, since it is smaller than the sum of its proper divisors (140381568).

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

66659112 is a wasteful number, since it uses less digits than its factorization.

66659112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 66659112 is about 8164.5031692075. The cubic root of 66659112 is about 405.4648161234.

The spelling of 66659112 in words is "sixty-six million, six hundred fifty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 41 52 54 72 78 81 82 104 108 117 123 156 162 164 193 216 234 246 312 324 328 351 369 386 468 492 533 579 648 702 738 772 936 984 1053 1066 1107 1158 1404 1476 1544 1599 1737 2106 2132 2214 2316 2509 2808 2952 3198 3321 3474 4212 4264 4428 4632 4797 5018 5211 6396 6642 6948 7527 7913 8424 8856 9594 10036 10422 12792 13284 13896 14391 15054 15633 15826 19188 20072 20844 22581 23739 26568 28782 30108 31266 31652 38376 41688 43173 45162 47478 57564 60216 62532 63304 67743 71217 86346 90324 94956 102869 115128 125064 135486 142434 172692 180648 189912 203229 205738 213651 270972 284868 308607 345384 406458 411476 427302 541944 569736 617214 640953 812916 822952 854604 925821 1234428 1281906 1625832 1709208 1851642 2468856 2563812 2777463 3703284 5127624 5554926 7406568 8332389 11109852 16664778 22219704 33329556 66659112