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206002189008 = 243371117364291
BaseRepresentation
bin1011111111011010101…
…1111111001011010000
3201200201122110110221000
42333312223333023100
511333343030022013
6234345221502000
720611632500220
oct2776653771320
9650648413830
10206002189008
117a401957690
1233b11871900
131656c9a33c5
149d83300080
15555a390973
hex2ff6aff2d0

206002189008 has 320 divisors, whose sum is σ = 780575754240. Its totient is φ = 50359449600.

The previous prime is 206002189007. The next prime is 206002189031. The reversal of 206002189008 is 800981200602.

206002189008 is a `hidden beast` number, since 20 + 600 + 21 + 8 + 9 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206002189007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 383343 + ... + 747633.

It is an arithmetic number, because the mean of its divisors is an integer number (2439299232).

Almost surely, 2206002189008 is an apocalyptic number.

206002189008 is a gapful number since it is divisible by the number (28) 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 206002189008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390287877120).

206002189008 is an abundant number, since it is smaller than the sum of its proper divisors (574573565232).

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

206002189008 is a wasteful number, since it uses less digits than its factorization.

206002189008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364343 (or 364331 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 206002189008 in words is "two hundred six billion, two million, one hundred eighty-nine thousand, eight".