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606163968 = 21032175373
BaseRepresentation
bin100100001000010…
…101010000000000
31120020121022122100
4210020111100000
52220134221333
6140052110400
721010210614
oct4410252000
91506538570
10606163968
11291188a63
1214b005400
1398776407
145a70d344
1538339213
hex24215400

606163968 has 264 divisors, whose sum is σ = 1914076008. Its totient is φ = 184025088.

The previous prime is 606163963. The next prime is 606163997. The reversal of 606163968 is 869361606.

606163968 is a `hidden beast` number, since 6 + 0 + 6 + 1 + 639 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 244859904 + 361304064 = 15648^2 + 19008^2 .

It is a super-2 number, since 2×6061639682 = 734869512203010048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (606163963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8303580 + ... + 8303652.

Almost surely, 2606163968 is an apocalyptic number.

606163968 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 606163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957038004).

606163968 is an abundant number, since it is smaller than the sum of its proper divisors (1307912040).

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

606163968 is a wasteful number, since it uses less digits than its factorization.

606163968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 606163968 is about 24620.3973972802. The cubic root of 606163968 is about 846.3111039983.

The spelling of 606163968 in words is "six hundred six million, one hundred sixty-three thousand, nine hundred sixty-eight".