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200200071808 = 27112292331913
BaseRepresentation
bin1011101001110011011…
…0101010101010000000
3201010202021202101102101
42322130312222222000
511240002204244213
6231545354200144
720315100350512
oct2723466525200
9633667671371
10200200071808
11779a47a3100
1232972723054
1315b56900069
1499928c1bb2
15531ace4bdd
hex2e9cdaaa80

200200071808 has 192 divisors, whose sum is σ = 455691436200. Its totient is φ = 87439278080.

The previous prime is 200200071793. The next prime is 200200071811. The reversal of 200200071808 is 808170002002.

It can be written as a sum of positive squares in 4 ways, for example, as 179091468864 + 21108602944 = 423192^2 + 145288^2 .

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, 104651460 + ... + 104653372.

Almost surely, 2200200071808 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 200200071808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227845718100).

200200071808 is an abundant number, since it is smaller than the sum of its proper divisors (255491364392).

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

200200071808 is a wasteful number, since it uses less digits than its factorization.

200200071808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The spelling of 200200071808 in words is "two hundred billion, two hundred million, seventy-one thousand, eight hundred eight".