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66816264 = 2338213391
BaseRepresentation
bin1111111011100…
…0100100001000
311122201121200110
43332320210020
5114101110024
610344034320
71440633414
oct376704410
9148647613
1066816264
1134797059
121a4629a0
1310ac5668
148c33d44
155cec629
hex3fb8908

66816264 has 32 divisors (see below), whose sum is σ = 167293440. Its totient is φ = 22238400.

The previous prime is 66816259. The next prime is 66816271. The reversal of 66816264 is 46261866.

66816264 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 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 7 ways as a sum of consecutive naturals, for example, 18009 + ... + 21399.

It is an arithmetic number, because the mean of its divisors is an integer number (5227920).

Almost surely, 266816264 is an apocalyptic number.

It is an amenable number.

66816264 is an abundant number, since it is smaller than the sum of its proper divisors (100477176).

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

66816264 is a wasteful number, since it uses less digits than its factorization.

66816264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4217 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 66816264 is about 8174.1216041848. The cubic root of 66816264 is about 405.7832001941.

The spelling of 66816264 in words is "sixty-six million, eight hundred sixteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 821 1642 2463 3284 3391 4926 6568 6782 9852 10173 13564 19704 20346 27128 40692 81384 2784011 5568022 8352033 11136044 16704066 22272088 33408132 66816264