Base | Representation |
---|---|
bin | 10100001101110011… |
… | …10010001100000000 |
3 | 1001000101021011201000 |
4 | 22012321302030000 |
5 | 134211411314222 |
6 | 4552542212000 |
7 | 532644632652 |
oct | 120671621400 |
9 | 31011234630 |
10 | 10853229312 |
11 | 466a401902 |
12 | 212a884000 |
13 | 103c6b95a3 |
14 | 74d5c66d2 |
15 | 437c4b9ac |
hex | 286e72300 |
10853229312 has 144 divisors (see below), whose sum is σ = 32622321760. Its totient is φ = 3558297600.
The previous prime is 10853229307. The next prime is 10853229337. The reversal of 10853229312 is 21392235801.
10853229312 is a `hidden beast` number, since 10 + 8 + 5 + 322 + 9 + 312 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408762 + ... + 434502.
Almost surely, 210853229312 is an apocalyptic number.
10853229312 is a gapful number since it is divisible by the number (12) 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 10853229312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311160880).
10853229312 is an abundant number, since it is smaller than the sum of its proper divisors (21769092448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10853229312 is an equidigital number, since it uses as much as digits as its factorization.
10853229312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25827 (or 25807 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The spelling of 10853229312 in words is "ten billion, eight hundred fifty-three million, two hundred twenty-nine thousand, three hundred twelve".
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