Base | Representation |
---|---|
bin | 10110110011010110… |
… | …00010000000000000 |
3 | 1011121011020110210000 |
4 | 23121223002000000 |
5 | 200032404331343 |
6 | 5342425440000 |
7 | 612236120364 |
oct | 133153020000 |
9 | 34534213700 |
10 | 12241870848 |
11 | 5212242839 |
12 | 2457940000 |
13 | 12012bc07c |
14 | 841bbd2a4 |
15 | 4b9aeaed3 |
hex | 2d9ac2000 |
12241870848 has 280 divisors, whose sum is σ = 38536747920. Its totient is φ = 3861872640.
The previous prime is 12241870847. The next prime is 12241870903. The reversal of 12241870848 is 84807814221.
12241870848 is a `hidden beast` number, since 122 + 418 + 70 + 8 + 48 = 666.
It is a super-2 number, since 2×122418708482 (a number of 21 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (12241870841) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12607003 + ... + 12607973.
Almost surely, 212241870848 is an apocalyptic number.
12241870848 is a gapful number since it is divisible by the number (18) 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 12241870848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19268373960).
12241870848 is an abundant number, since it is smaller than the sum of its proper divisors (26294877072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12241870848 is an frugal number, since it uses more digits than its factorization.
12241870848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1028 (or 995 counting only the distinct ones).
The product of its (nonzero) digits is 229376, while the sum is 45.
The spelling of 12241870848 in words is "twelve billion, two hundred forty-one million, eight hundred seventy thousand, eight hundred forty-eight".
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