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66044412 = 223271371913
BaseRepresentation
bin1111101111110…
…0000111111100
311121021101220100
43323330013330
5113401410122
610315321100
71431240210
oct373740774
9147241810
1066044412
113430a165
121a150190
13108b5245
148ab2940
155be8aac
hex3efc1fc

66044412 has 72 divisors (see below), whose sum is σ = 192288096. Its totient is φ = 18722304.

The previous prime is 66044401. The next prime is 66044443. The reversal of 66044412 is 21444066.

66044412 is a `hidden beast` number, since 6 + 604 + 44 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33568 + ... + 35480.

It is an arithmetic number, because the mean of its divisors is an integer number (2670668).

Almost surely, 266044412 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 66044412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96144048).

66044412 is an abundant number, since it is smaller than the sum of its proper divisors (126243684).

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

66044412 is a wasteful number, since it uses less digits than its factorization.

66044412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 66044412 is about 8126.7713146120. The cubic root of 66044412 is about 404.2146279759.

Adding to 66044412 its reverse (21444066), we get a palindrome (87488478).

The spelling of 66044412 in words is "sixty-six million, forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 252 274 411 548 822 959 1233 1644 1913 1918 2466 2877 3826 3836 4932 5739 5754 7652 8631 11478 11508 13391 17217 17262 22956 26782 34434 34524 40173 53564 68868 80346 120519 160692 241038 262081 482076 524162 786243 1048324 1572486 1834567 2358729 3144972 3669134 4717458 5503701 7338268 9434916 11007402 16511103 22014804 33022206 66044412