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66867468 = 22361167547
BaseRepresentation
bin1111111100010…
…1000100001100
311122211012220220
43333011010030
5114104224333
610345111340
71441235613
oct377050414
9148735826
1066867468
1134821578
121a488550
1310b12a65
148c4887a
155d0c8b3
hex3fc510c

66867468 has 48 divisors (see below), whose sum is σ = 159823104. Its totient is φ = 21752640.

The previous prime is 66867457. The next prime is 66867469. The reversal of 66867468 is 86476866.

66867468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 66867468.

It is not an unprimeable number, because it can be changed into a prime (66867469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121971 + ... + 122517.

It is an arithmetic number, because the mean of its divisors is an integer number (3329648).

Almost surely, 266867468 is an apocalyptic number.

It is an amenable number.

66867468 is an abundant number, since it is smaller than the sum of its proper divisors (92955636).

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

66867468 is a wasteful number, since it uses less digits than its factorization.

66867468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 780 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 66867468 is about 8177.2530840130. The cubic root of 66867468 is about 405.8868297417.

The spelling of 66867468 in words is "sixty-six million, eight hundred sixty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 61 122 167 183 244 334 366 501 547 668 732 1002 1094 1641 2004 2188 3282 6564 10187 20374 30561 33367 40748 61122 66734 91349 100101 122244 133468 182698 200202 274047 365396 400404 548094 1096188 5572289 11144578 16716867 22289156 33433734 66867468