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66686364 = 22324194421
BaseRepresentation
bin1111111001100…
…0110110011100
311122111000111100
43332120312130
5114032430424
610341153100
71436552613
oct376306634
9148430440
1066686364
11347084a8
121a3bb790
1310a7b4b4
148bdc87a
155cc3dc9
hex3f98d9c

66686364 has 36 divisors (see below), whose sum is σ = 169008840. Its totient is φ = 22170720.

The previous prime is 66686357. The next prime is 66686369. The reversal of 66686364 is 46368666.

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

It is a super-2 number, since 2×666863642 = 8894142287080992, which contains 22 as substring.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66686369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12874 + ... + 17294.

It is an arithmetic number, because the mean of its divisors is an integer number (4694690).

Almost surely, 266686364 is an apocalyptic number.

It is an amenable number.

66686364 is an abundant number, since it is smaller than the sum of its proper divisors (102322476).

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

66686364 is a wasteful number, since it uses less digits than its factorization.

66686364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4850 (or 4845 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 66686364 is about 8166.1719305927. The cubic root of 66686364 is about 405.5200634926.

The spelling of 66686364 in words is "sixty-six million, six hundred eighty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 419 838 1257 1676 2514 3771 4421 5028 7542 8842 13263 15084 17684 26526 39789 53052 79578 159156 1852399 3704798 5557197 7409596 11114394 16671591 22228788 33343182 66686364