Search a number
-
+
66184664 = 23713229397
BaseRepresentation
bin1111110001111…
…0010111011000
311121112112021212
43330132113120
5113420402124
610322322252
71432363130
oct374362730
9147475255
1066184664
11343a5577
121a1b9388
1310934030
148b0bac0
155c2540e
hex3f1e5d8

66184664 has 64 divisors (see below), whose sum is σ = 153787200. Its totient is φ = 26002944.

The previous prime is 66184663. The next prime is 66184667. The reversal of 66184664 is 46648166.

Its product of digits (165888) is a multiple of the sum of its prime divisors (648).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66184661) 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, 166514 + ... + 166910.

It is an arithmetic number, because the mean of its divisors is an integer number (2402925).

Almost surely, 266184664 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 66184664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76893600).

66184664 is an abundant number, since it is smaller than the sum of its proper divisors (87602536).

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

66184664 is a wasteful number, since it uses less digits than its factorization.

66184664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 648 counting only the distinct ones).

The product of its digits is 165888, while the sum is 41.

The square root of 66184664 is about 8135.3957494396. The cubic root of 66184664 is about 404.5005559105.

The spelling of 66184664 in words is "sixty-six million, one hundred eighty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 229 364 397 458 728 794 916 1588 1603 1832 2779 2977 3176 3206 5161 5558 5954 6412 10322 11116 11908 12824 20644 20839 22232 23816 36127 41288 41678 72254 83356 90913 144508 166712 181826 289016 363652 636391 727304 1181869 1272782 2363738 2545564 4727476 5091128 8273083 9454952 16546166 33092332 66184664