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66141012 = 2237799967
BaseRepresentation
bin1111110001001…
…1101101010100
311121110022102010
43330103231110
5113413003022
610321344220
71432121640
oct374235524
9147408363
1066141012
11343757a3
121a198070
131091a1c2
148ad9c20
155c1750c
hex3f13b54

66141012 has 48 divisors (see below), whose sum is σ = 178626560. Its totient is φ = 18656352.

The previous prime is 66140917. The next prime is 66141013. The reversal of 66141012 is 21014166.

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 66141012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66141013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1653 + ... + 11619.

Almost surely, 266141012 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 66141012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89313280).

66141012 is an abundant number, since it is smaller than the sum of its proper divisors (112485548).

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

66141012 is a wasteful number, since it uses less digits than its factorization.

66141012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10060 (or 10058 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 66141012 is about 8132.7124626412. The cubic root of 66141012 is about 404.4116070988.

Adding to 66141012 its reverse (21014166), we get a palindrome (87155178).

It can be divided in two parts, 6614 and 1012, that added together give a triangular number (7626 = T123).

The spelling of 66141012 in words is "sixty-six million, one hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1659 2212 3318 6636 9967 19934 29901 39868 59802 69769 119604 139538 209307 279076 418614 787393 837228 1574786 2362179 3149572 4724358 5511751 9448716 11023502 16535253 22047004 33070506 66141012