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21066499200 = 2735210121727
BaseRepresentation
bin10011100111101010…
…010100010010000000
32000101011100001010010
4103213222110102000
5321121010433300
613402224104520
71344022201005
oct234752242200
960334301103
1021066499200
118a3054271a
1240bb165140
131ca9629056
14103bbc38ac
158346d5a50
hex4e7a94480

21066499200 has 192 divisors, whose sum is σ = 70078014720. Its totient is φ = 5561856000.

The previous prime is 21066499199. The next prime is 21066499277. The reversal of 21066499200 is 299466012.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 958737 + ... + 980463.

It is an arithmetic number, because the mean of its divisors is an integer number (364989660).

Almost surely, 221066499200 is an apocalyptic number.

21066499200 is a gapful number since it is divisible by the number (20) 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 21066499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35039007360).

21066499200 is an abundant number, since it is smaller than the sum of its proper divisors (49011515520).

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

21066499200 is a wasteful number, since it uses less digits than its factorization.

21066499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21855 (or 21838 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 21066499200 in words is "twenty-one billion, sixty-six million, four hundred ninety-nine thousand, two hundred".