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200668606848 = 273523327689
BaseRepresentation
bin1011101011100011000…
…1111111000110000000
3201011221221101102200000
42322320301333012000
511241432130404343
6232104052400000
720332520005053
oct2727061770600
9634857342600
10200668606848
1178115219446
1232a83616000
1315bcc9b9428
1499d8c06a9a
155346ee4ed3
hex2eb8c7f180

200668606848 has 192 divisors, whose sum is σ = 601423477200. Its totient is φ = 66600050688.

The previous prime is 200668606847. The next prime is 200668606867. The reversal of 200668606848 is 848606866002.

It is a happy number.

200668606848 is a `hidden beast` number, since 20 + 0 + 6 + 6 + 8 + 606 + 8 + 4 + 8 = 666.

200668606848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 200668606794 and 200668606803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200668606847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7233388 + ... + 7261076.

Almost surely, 2200668606848 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 200668606848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300711738600).

200668606848 is an abundant number, since it is smaller than the sum of its proper divisors (400754870352).

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

200668606848 is an equidigital number, since it uses as much as digits as its factorization.

200668606848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27951 (or 27927 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 200668606848 in words is "two hundred billion, six hundred sixty-eight million, six hundred six thousand, eight hundred forty-eight".