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66361512 = 23372953257
BaseRepresentation
bin1111110100100…
…1100010101000
311121212111212210
43331021202220
5113442032022
610330205120
71434030540
oct375114250
9147774783
1066361512
1134506428
121a2837a0
1310996689
148b56320
155c5ca0c
hex3f498a8

66361512 has 128 divisors (see below), whose sum is σ = 200620800. Its totient is φ = 17891328.

The previous prime is 66361441. The next prime is 66361531. The reversal of 66361512 is 21516366.

66361512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×663615122 = 8807700549852288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66361512.

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 31 ways as a sum of consecutive naturals, for example, 258088 + ... + 258344.

It is an arithmetic number, because the mean of its divisors is an integer number (1567350).

Almost surely, 266361512 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 66361512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100310400).

66361512 is an abundant number, since it is smaller than the sum of its proper divisors (134259288).

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

66361512 is a wasteful number, since it uses less digits than its factorization.

66361512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 351 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 66361512 is about 8146.2575456463. The cubic root of 66361512 is about 404.8605159049.

Adding to 66361512 its reverse (21516366), we get a palindrome (87877878).

The spelling of 66361512 in words is "sixty-six million, three hundred sixty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 53 56 58 84 87 106 116 159 168 174 203 212 232 257 318 348 371 406 424 514 609 636 696 742 771 812 1028 1113 1218 1272 1484 1537 1542 1624 1799 2056 2226 2436 2968 3074 3084 3598 4452 4611 4872 5397 6148 6168 7196 7453 8904 9222 10759 10794 12296 13621 14392 14906 18444 21518 21588 22359 27242 29812 32277 36888 40863 43036 43176 44718 52171 54484 59624 64554 81726 86072 89436 95347 104342 108968 129108 156513 163452 178872 190694 208684 258216 286041 313026 326904 381388 395009 417368 572082 626052 762776 790018 1144164 1185027 1252104 1580036 2288328 2370054 2765063 3160072 4740108 5530126 8295189 9480216 11060252 16590378 22120504 33180756 66361512