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66313002 = 23719233613
BaseRepresentation
bin1111110011110…
…1101100101010
311121210001100010
43330331230222
5113434004002
610325152350
71433436240
oct374755452
9147701303
1066313002
1134482a38
121a25b6b6
131097a582
148b42790
155c4d46c
hex3f3db2a

66313002 has 64 divisors (see below), whose sum is σ = 166533120. Its totient is φ = 17164224.

The previous prime is 66313001. The next prime is 66313057. The reversal of 66313002 is 20031366.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 66313002.

It is not an unprimeable number, because it can be changed into a prime (66313001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16548 + ... + 20160.

It is an arithmetic number, because the mean of its divisors is an integer number (2602080).

Almost surely, 266313002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66313002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83266560).

66313002 is an abundant number, since it is smaller than the sum of its proper divisors (100220118).

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

66313002 is a wasteful number, since it uses less digits than its factorization.

66313002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 66313002 is about 8143.2795604719. The cubic root of 66313002 is about 404.7618413845.

Adding to 66313002 its reverse (20031366), we get a palindrome (86344368).

The spelling of 66313002 in words is "sixty-six million, three hundred thirteen thousand, two".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 57 69 114 133 138 161 266 322 399 437 483 798 874 966 1311 2622 3059 3613 6118 7226 9177 10839 18354 21678 25291 50582 68647 75873 83099 137294 151746 166198 205941 249297 411882 480529 498594 581693 961058 1163386 1441587 1578881 1745079 2883174 3157762 3490158 4736643 9473286 11052167 22104334 33156501 66313002