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66168936 = 2332919013
BaseRepresentation
bin1111110001101…
…0100001101000
311121111201201100
43330122201220
5113414401221
610322121400
71432266231
oct374324150
9147451640
1066168936
1134394779
121a1b0260
1310929b22
148b06088
155c20926
hex3f1a868

66168936 has 24 divisors (see below), whose sum is σ = 179207730. Its totient is φ = 22056288.

The previous prime is 66168917. The next prime is 66168943. The reversal of 66168936 is 63986166.

66168936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 65512836 + 656100 = 8094^2 + 810^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 66168891 and 66168900.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 459435 + ... + 459578.

Almost surely, 266168936 is an apocalyptic number.

It is an amenable number.

66168936 is an abundant number, since it is smaller than the sum of its proper divisors (113038794).

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

66168936 is a wasteful number, since it uses less digits than its factorization.

66168936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919025 (or 919018 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 66168936 is about 8134.4290518757. The cubic root of 66168936 is about 404.4685117864.

The spelling of 66168936 in words is "sixty-six million, one hundred sixty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 919013 1838026 2757039 3676052 5514078 7352104 8271117 11028156 16542234 22056312 33084468 66168936