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66618168 = 23313720261
BaseRepresentation
bin1111111000100…
…0001100111000
311122100112221120
43332020030320
5114023240133
610335505240
71436150031
oct376101470
9148315846
1066618168
1134671241
121a388220
1310a56446
148bc1a88
155cadab3
hex3f88338

66618168 has 32 divisors (see below), whose sum is σ = 167769360. Its totient is φ = 22042880.

The previous prime is 66618151. The next prime is 66618169. The reversal of 66618168 is 86181666.

66618168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66618169) 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 7 ways as a sum of consecutive naturals, for example, 6843 + ... + 13418.

Almost surely, 266618168 is an apocalyptic number.

It is an amenable number.

66618168 is an abundant number, since it is smaller than the sum of its proper divisors (101151192).

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

66618168 is a wasteful number, since it uses less digits than its factorization.

66618168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20407 (or 20403 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 66618168 is about 8161.9953442770. The cubic root of 66618168 is about 405.3817829561.

The spelling of 66618168 in words is "sixty-six million, six hundred eighteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 137 274 411 548 822 1096 1644 3288 20261 40522 60783 81044 121566 162088 243132 486264 2775757 5551514 8327271 11103028 16654542 22206056 33309084 66618168