Search a number
-
+
66318012 = 223229139457
BaseRepresentation
bin1111110011111…
…0111010111100
311121210022012200
43330332322330
5113434134022
610325231500
71433456655
oct374767274
9147708180
1066318012
1134486782
121a262590
131097c937
148b4452c
155c4ebac
hex3f3eebc

66318012 has 72 divisors (see below), whose sum is σ = 175047600. Its totient is φ = 21143808.

The previous prime is 66317939. The next prime is 66318013. The reversal of 66318012 is 21081366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66318013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144888 + ... + 145344.

Almost surely, 266318012 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 66318012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87523800).

66318012 is an abundant number, since it is smaller than the sum of its proper divisors (108729588).

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

66318012 is a wasteful number, since it uses less digits than its factorization.

66318012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 66318012 is about 8143.5871702831. The cubic root of 66318012 is about 404.7720344874.

Adding to 66318012 its reverse (21081366), we get a palindrome (87399378).

The spelling of 66318012 in words is "sixty-six million, three hundred eighteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 139 174 261 278 348 417 457 522 556 834 914 1044 1251 1371 1668 1828 2502 2742 4031 4113 5004 5484 8062 8226 12093 13253 16124 16452 24186 26506 36279 39759 48372 53012 63523 72558 79518 119277 127046 145116 159036 190569 238554 254092 381138 477108 571707 762276 1143414 1842167 2286828 3684334 5526501 7368668 11053002 16579503 22106004 33159006 66318012