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66366368 = 2517121997
BaseRepresentation
bin1111110100101…
…0101110100000
311121212202112122
43331022232200
5113442210433
610330243412
71434050645
oct375125640
9147782478
1066366368
113450a042
121a286568
1310998953
148b57dcc
155c5e198
hex3f4aba0

66366368 has 24 divisors (see below), whose sum is σ = 138345732. Its totient is φ = 31230976.

The previous prime is 66366367. The next prime is 66366389. The reversal of 66366368 is 86366366.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 51093904 + 15272464 = 7148^2 + 3908^2 .

It is a super-2 number, since 2×663663682 = 8808989603022848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66366367) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60455 + ... + 61542.

Almost surely, 266366368 is an apocalyptic number.

66366368 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

66366368 is an abundant number, since it is smaller than the sum of its proper divisors (71979364).

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

66366368 is a wasteful number, since it uses less digits than its factorization.

66366368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122024 (or 122016 counting only the distinct ones).

The product of its digits is 559872, while the sum is 44.

The square root of 66366368 is about 8146.5555911686. Note that the first 4 decimals coincide. The cubic root of 66366368 is about 404.8703908794.

The spelling of 66366368 in words is "sixty-six million, three hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 121997 243994 487988 975976 1951952 2073949 3903904 4147898 8295796 16591592 33183184 66366368