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66165012 = 223568071
BaseRepresentation
bin1111110001100…
…1100100010100
311121111112100000
43330121210110
5113414240022
610322051300
71432251624
oct374314424
9147445300
1066165012
1134391831
121a1a9b30
13109280c4
148b04884
155c1e6ac
hex3f19914

66165012 has 36 divisors (see below), whose sum is σ = 173447456. Its totient is φ = 22054680.

The previous prime is 66164993. The next prime is 66165017. The reversal of 66165012 is 21056166.

It is a happy number.

66165012 is a `hidden beast` number, since 6 + 6 + 1 + 650 + 1 + 2 = 666.

66165012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66165017) 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 11 ways as a sum of consecutive naturals, for example, 33064 + ... + 35007.

Almost surely, 266165012 is an apocalyptic number.

It is an amenable number.

66165012 is an abundant number, since it is smaller than the sum of its proper divisors (107282444).

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

66165012 is a wasteful number, since it uses less digits than its factorization.

66165012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68090 (or 68076 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 66165012 is about 8134.1878512855. The cubic root of 66165012 is about 404.4605162630.

It can be divided in two parts, 6616 and 5012, that added together give a triangular number (11628 = T152).

The spelling of 66165012 in words is "sixty-six million, one hundred sixty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 68071 136142 204213 272284 408426 612639 816852 1225278 1837917 2450556 3675834 5513751 7351668 11027502 16541253 22055004 33082506 66165012