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206661394368 = 2632112132347211
BaseRepresentation
bin1100000001110111111…
…0101001111111000000
3201202102120212120200100
43000131332221333000
511341220304104433
6234534450522400
720634155603562
oct3003576517700
9652376776610
10206661394368
117a70aa73400
1234076596400
131664642b350
14a006a99332
1555981a5b13
hex301dfa9fc0

206661394368 has 1008 divisors, whose sum is σ = 750784140288. Its totient is φ = 53861068800.

The previous prime is 206661394349. The next prime is 206661394369. The reversal of 206661394368 is 863493166602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206661394369) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 979437783 + ... + 979437993.

It is an arithmetic number, because the mean of its divisors is an integer number (744825536).

Almost surely, 2206661394368 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 206661394368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375392070144).

206661394368 is an abundant number, since it is smaller than the sum of its proper divisors (544122745920).

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

206661394368 is a wasteful number, since it uses less digits than its factorization.

206661394368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 206661394368 in words is "two hundred six billion, six hundred sixty-one million, three hundred ninety-four thousand, three hundred sixty-eight".