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66401412 = 223711247139
BaseRepresentation
bin1111110101001…
…1010010000100
311121221112121120
43331103102010
5113444321122
610331113540
71434255060
oct375232204
9147845546
1066401412
1134533400
121a2a28b0
13109ab89c
148b66aa0
155c6975c
hex3f53484

66401412 has 144 divisors (see below), whose sum is σ = 200202240. Its totient is φ = 16758720.

The previous prime is 66401407. The next prime is 66401429. The reversal of 66401412 is 21410466.

66401412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 477639 + ... + 477777.

Almost surely, 266401412 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 66401412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100101120).

66401412 is an abundant number, since it is smaller than the sum of its proper divisors (133800828).

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

66401412 is a wasteful number, since it uses less digits than its factorization.

66401412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 66401412 is about 8148.7061549672. The cubic root of 66401412 is about 404.9416407299.

Adding to 66401412 its reverse (21410466), we get a palindrome (87811878).

The spelling of 66401412 in words is "sixty-six million, four hundred one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 47 66 77 84 94 121 132 139 141 154 188 231 242 278 282 308 329 363 417 462 484 517 556 564 658 726 834 847 924 973 987 1034 1316 1452 1529 1551 1668 1694 1946 1974 2068 2541 2919 3058 3102 3388 3619 3892 3948 4587 5082 5687 5838 6116 6204 6533 7238 9174 10164 10703 10857 11374 11676 13066 14476 16819 17061 18348 19599 21406 21714 22748 26132 32109 33638 34122 39198 39809 42812 43428 45731 50457 64218 67276 68244 71863 78396 79618 91462 100914 117733 119427 128436 137193 143726 159236 182924 201828 215589 235466 238854 274386 287452 353199 431178 470932 477708 503041 548772 706398 790493 862356 1006082 1412796 1509123 1580986 2012164 2371479 3018246 3161972 4742958 5533451 6036492 9485916 11066902 16600353 22133804 33200706 66401412