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204280547328 = 211321113174797
BaseRepresentation
bin1011111001000000010…
…0011100100000000000
3201112021122220000112100
42332100010130200000
511321331310003303
6233502321030400
720521156000554
oct2762004344000
9645248800470
10204280547328
11796a9052820
1233711185400
13163570ba410
149c5c7c3864
1554a91648a3
hex2f9011c800

204280547328 has 1152 divisors, whose sum is σ = 757262338560. Its totient is φ = 52093255680.

The previous prime is 204280547323. The next prime is 204280547353. The reversal of 204280547328 is 823745082402.

204280547328 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 80 + 547 + 3 + 28 = 666.

204280547328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (204280547323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2105984976 + ... + 2105985072.

It is an arithmetic number, because the mean of its divisors is an integer number (657345780).

Almost surely, 2204280547328 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 204280547328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378631169280).

204280547328 is an abundant number, since it is smaller than the sum of its proper divisors (552981791232).

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

204280547328 is a wasteful number, since it uses less digits than its factorization.

204280547328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 204280547328 in words is "two hundred four billion, two hundred eighty million, five hundred forty-seven thousand, three hundred twenty-eight".