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66111012 = 22331125059
BaseRepresentation
bin1111110000110…
…0011000100100
311121101210021000
43330030120210
5113411023022
610320553300
71431635322
oct374143044
9147353230
1066111012
1134355200
121a182830
1310909656
148accd12
155c0d6ac
hex3f0c624

66111012 has 72 divisors (see below), whose sum is σ = 188434400. Its totient is φ = 20029680.

The previous prime is 66110987. The next prime is 66111043. The reversal of 66111012 is 21011166.

66111012 is a `hidden beast` number, since 661 + 1 + 1 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 10539 + ... + 15597.

Almost surely, 266111012 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 66111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94217200).

66111012 is an abundant number, since it is smaller than the sum of its proper divisors (122323388).

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

66111012 is a wasteful number, since it uses less digits than its factorization.

66111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5094 (or 5075 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 66111012 is about 8130.8678503589. The cubic root of 66111012 is about 404.3504540027.

Adding to 66111012 its reverse (21011166), we get a palindrome (87122178).

The spelling of 66111012 in words is "sixty-six million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 5059 6534 10118 13068 15177 20236 30354 45531 55649 60708 91062 111298 136593 166947 182124 222596 273186 333894 500841 546372 612139 667788 1001682 1224278 1502523 1836417 2003364 2448556 3005046 3672834 5509251 6010092 7345668 11018502 16527753 22037004 33055506 66111012