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206630463840 = 25354675091811
BaseRepresentation
bin1100000001110000100…
…0101010100101100000
3201202100102200010222020
43000130020222211200
511341134344320330
6234531423541440
720633331651243
oct3003410524540
9652312603866
10206630463840
117a6a4567889
123406815a880
131663cbbb968
14a00292725a
1555955e6210
hex301c22a960

206630463840 has 192 divisors, whose sum is σ = 653922097920. Its totient is φ = 54845143040.

The previous prime is 206630463733. The next prime is 206630463911. The reversal of 206630463840 is 48364036602.

It is a happy number.

It is a super-2 number, since 2×2066304638402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 206630463792 and 206630463801.

It is a congruent number.

It is an unprimeable number.

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, 114096535 + ... + 114098345.

It is an arithmetic number, because the mean of its divisors is an integer number (3405844260).

Almost surely, 2206630463840 is an apocalyptic number.

206630463840 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 206630463840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326961048960).

206630463840 is an abundant number, since it is smaller than the sum of its proper divisors (447291634080).

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

206630463840 is a wasteful number, since it uses less digits than its factorization.

206630463840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 206630463840 in words is "two hundred six billion, six hundred thirty million, four hundred sixty-three thousand, eight hundred forty".