Base | Representation |
---|---|
bin | 10110100001001001… |
… | …01111010000000000 |
3 | 1011012112000022202000 |
4 | 23100210233100000 |
5 | 144224320214430 |
6 | 5315334024000 |
7 | 605403504360 |
oct | 132044572000 |
9 | 34175008660 |
10 | 12089226240 |
11 | 5144064673 |
12 | 24147a8000 |
13 | 11a87a5510 |
14 | 8298069a0 |
15 | 4ab4e7e60 |
hex | 2d092f400 |
12089226240 has 1056 divisors, whose sum is σ = 54638196480. Its totient is φ = 2468413440.
The previous prime is 12089226229. The next prime is 12089226263. The reversal of 12089226240 is 4262298021.
12089226240 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 9 + 22 + 624 + 0 = 666.
It is a super-2 number, since 2×120892262402 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 12089226195 and 12089226204.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 389975025 + ... + 389975055.
Almost surely, 212089226240 is an apocalyptic number.
12089226240 is a gapful number since it is divisible by the number (10) 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 12089226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27319098240).
12089226240 is an abundant number, since it is smaller than the sum of its proper divisors (42548970240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12089226240 is a wasteful number, since it uses less digits than its factorization.
12089226240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 116 (or 61 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The spelling of 12089226240 in words is "twelve billion, eighty-nine million, two hundred twenty-six thousand, two hundred forty".
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