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66884548608 = 21137109137
BaseRepresentation
bin111110010010101000…
…010011100000000000
320101122022002010000000
4332102220103200000
52043434421023413
650420520000000
74555314165663
oct762250234000
9211568063000
1066884548608
1126402647359
1210b67600000
1363cbb6c6a7
143346d596da
151b16d64073
hexf92a13800

66884548608 has 384 divisors, whose sum is σ = 203891688000. Its totient is φ = 21929066496.

The previous prime is 66884548597. The next prime is 66884548609. The reversal of 66884548608 is 80684548866.

66884548608 is a `hidden beast` number, since 6 + 6 + 8 + 84 + 548 + 6 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66884548609) 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 31 ways as a sum of consecutive naturals, for example, 488208316 + ... + 488208452.

Almost surely, 266884548608 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 66884548608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101945844000).

66884548608 is an abundant number, since it is smaller than the sum of its proper divisors (137007139392).

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

66884548608 is an equidigital number, since it uses as much as digits as its factorization.

66884548608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 66884548608 in words is "sixty-six billion, eight hundred eighty-four million, five hundred forty-eight thousand, six hundred eight".