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204060136896 = 263371111171373
BaseRepresentation
bin1011111000001011101…
…1101001010111000000
3201111201022011000021000
42332002323221113000
511320403343340041
6233424404532000
720512541354550
oct2760273512700
9644638130230
10204060136896
11795a569a140
123366b3b1000
1316320537c45
149c3b40b160
155494b27bb6
hex2f82ee95c0

204060136896 has 448 divisors, whose sum is σ = 749140853760. Its totient is φ = 52916613120.

The previous prime is 204060136883. The next prime is 204060136901. The reversal of 204060136896 is 698631060402.

204060136896 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 601 + 36 + 8 + 9 + 6 = 666.

204060136896 is digitally balanced in base 2, 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 (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148622866 + ... + 148624238.

Almost surely, 2204060136896 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 204060136896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374570426880).

204060136896 is an abundant number, since it is smaller than the sum of its proper divisors (545080716864).

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

204060136896 is a wasteful number, since it uses less digits than its factorization.

204060136896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 204060136896 in words is "two hundred four billion, sixty million, one hundred thirty-six thousand, eight hundred ninety-six".