| Base | Representation |
|---|---|
| bin | 1011001101101001000011… |
| … | …1011011011001000000000 |
| 3 | 1121122122021100100121220000 |
| 4 | 2303122100323123020000 |
| 5 | 3103444231313324344 |
| 6 | 42115505252520000 |
| 7 | 2411511543540000 |
| oct | 263322073331000 |
| 9 | 47578240317800 |
| 10 | 12328987636224 |
| 11 | 3a23770117256 |
| 12 | 1471535020000 |
| 13 | 6b5806c3795c |
| 14 | 308a24920000 |
| 15 | 165a8a3d3a69 |
| hex | b3690edb200 |
12328987636224 has 500 divisors, whose sum is σ = 42929704346694. Its totient is φ = 3522539446272.
The previous prime is 12328987636211. The next prime is 12328987636253. The reversal of 12328987636224 is 42263678982321.
12328987636224 is a `hidden beast` number, since 1 + 2 + 328 + 9 + 87 + 6 + 3 + 6 + 224 = 666.
It can be written as a sum of positive squares in only one way, i.e., 12297870676224 + 31116960000 = 3506832^2 + 176400^2 .
It is a super-2 number, since 2×123289876362242 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
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 49 ways as a sum of consecutive naturals, for example, 99512364 + ... + 99636180.
Almost surely, 212328987636224 is an apocalyptic number.
12328987636224 is a gapful number since it is divisible by the number (14) 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 12328987636224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21464852173347).
12328987636224 is an abundant number, since it is smaller than the sum of its proper divisors (30600716710470).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12328987636224 is an frugal number, since it uses more digits than its factorization.
12328987636224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 123875 (or 123829 counting only the distinct ones).
The product of its digits is 83607552, while the sum is 63.
The spelling of 12328987636224 in words is "twelve trillion, three hundred twenty-eight billion, nine hundred eighty-seven million, six hundred thirty-six thousand, two hundred twenty-four".
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