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66880008 = 23321371453
BaseRepresentation
bin1111111100100…
…0001000001000
311122211212010100
43333020020020
5114110130013
610345245400
71441320306
oct377101010
9148755110
1066880008
113482aa38
121a493860
1310b18690
148c4d276
155d11473
hex3fc8208

66880008 has 48 divisors (see below), whose sum is σ = 195069420. Its totient is φ = 20578176.

The previous prime is 66880001. The next prime is 66880031. The reversal of 66880008 is 80008866.

It can be written as a sum of positive squares in 2 ways, for example, as 66879684 + 324 = 8178^2 + 18^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66880001) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 34791 + ... + 36662.

Almost surely, 266880008 is an apocalyptic number.

It is an amenable number.

66880008 is an abundant number, since it is smaller than the sum of its proper divisors (128189412).

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

66880008 is a wasteful number, since it uses less digits than its factorization.

66880008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71478 (or 71471 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 66880008 is about 8178.0198092203. The cubic root of 66880008 is about 405.9122008370.

The spelling of 66880008 in words is "sixty-six million, eight hundred eighty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 71453 142906 214359 285812 428718 571624 643077 857436 928889 1286154 1714872 1857778 2572308 2786667 3715556 5144616 5573334 7431112 8360001 11146668 16720002 22293336 33440004 66880008