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66866782208 = 21328572
BaseRepresentation
bin111110010001100100…
…100010000000000000
320101121001122111002012
4332101210202000000
52043420344012313
650415043112052
74555010161622
oct762144420000
9211531574065
1066866782208
11263a3612186
1210b61672628
1363c828bb25
143344852c12
151b15504da8
hexf91922000

66866782208 has 42 divisors (see below), whose sum is σ = 133772224581. Its totient is φ = 33421688832.

The previous prime is 66866782187. The next prime is 66866782217. The reversal of 66866782208 is 80228766866.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 64784502784 + 2082279424 = 254528^2 + 45632^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=182848.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 23403116 + ... + 23405972.

Almost surely, 266866782208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66866782208

66866782208 is an abundant number, since it is smaller than the sum of its proper divisors (66905442373).

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

66866782208 is an frugal number, since it uses more digits than its factorization.

66866782208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 59.

The spelling of 66866782208 in words is "sixty-six billion, eight hundred sixty-six million, seven hundred eighty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2857 4096 5714 8192 11428 22856 45712 91424 182848 365696 731392 1462784 2925568 5851136 8162449 11702272 16324898 23404544 32649796 65299592 130599184 261198368 522396736 1044793472 2089586944 4179173888 8358347776 16716695552 33433391104 66866782208