Base | Representation |
---|---|
bin | 11000010001101101001… |
… | …10011100111010000000 |
3 | 2221202001122000102222200 |
4 | 30020312212130322000 |
5 | 102131304231024320 |
6 | 1435110512433200 |
7 | 114156521335362 |
oct | 14106646347200 |
9 | 2852048012880 |
10 | 834139704960 |
11 | 2a18361323a1 |
12 | 1157b3848800 |
13 | 60874b99123 |
14 | 2c5304ccd32 |
15 | 16a7058a290 |
hex | c23699ce80 |
834139704960 has 192 divisors, whose sum is σ = 2908909397160. Its totient is φ = 220234752000.
The previous prime is 834139704899. The next prime is 834139704967. The reversal of 834139704960 is 69407931438.
It is a happy number.
834139704960 is a `hidden beast` number, since 83 + 4 + 1 + 3 + 9 + 70 + 496 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 828289290816 + 5850414144 = 910104^2 + 76488^2 .
It is a tau number, because it is divible by the number of its divisors (192).
It is a junction number, because it is equal to n+sod(n) for n = 834139704897 and 834139704906.
It is not an unprimeable number, because it can be changed into a prime (834139704967) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135151 + ... + 1298670.
Almost surely, 2834139704960 is an apocalyptic number.
834139704960 is a gapful number since it is divisible by the number (80) 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 834139704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454454698580).
834139704960 is an abundant number, since it is smaller than the sum of its proper divisors (2074769692200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
834139704960 is a wasteful number, since it uses less digits than its factorization.
834139704960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1433947 (or 1433932 counting only the distinct ones).
The product of its (nonzero) digits is 3919104, while the sum is 54.
The spelling of 834139704960 in words is "eight hundred thirty-four billion, one hundred thirty-nine million, seven hundred four thousand, nine hundred sixty".
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