Base | Representation |
---|---|
bin | 1011111011001110110… |
… | …1101100110000000000 |
3 | 201120211100011102200000 |
4 | 2332303231230300000 |
5 | 11324042403024402 |
6 | 234041522400000 |
7 | 20542040030460 |
oct | 2766355546000 |
9 | 646740142600 |
10 | 204878564352 |
11 | 79985676870 |
12 | 33859500000 |
13 | 16420c70547 |
14 | 9cb7db1ba0 |
15 | 54e18dec1c |
hex | 2fb3b6cc00 |
204878564352 has 1584 divisors, whose sum is σ = 834473273088. Its totient is φ = 48731258880.
The previous prime is 204878564323. The next prime is 204878564383. The reversal of 204878564352 is 253465878402.
204878564352 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 78 + 564 + 3 + 5 + 2 = 666.
204878564352 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 (1584).
It is a super-2 number, since 2×2048785643522 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
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 143 ways as a sum of consecutive naturals, for example, 5537258478 + ... + 5537258514.
Almost surely, 2204878564352 is an apocalyptic number.
204878564352 is a gapful number since it is divisible by the number (22) 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 204878564352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417236636544).
204878564352 is an abundant number, since it is smaller than the sum of its proper divisors (629594708736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
204878564352 is a wasteful number, since it uses less digits than its factorization.
204878564352 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 124 (or 77 counting only the distinct ones).
The product of its (nonzero) digits is 12902400, while the sum is 54.
The spelling of 204878564352 in words is "two hundred four billion, eight hundred seventy-eight million, five hundred sixty-four thousand, three hundred fifty-two".
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