| Base | Representation |
|---|---|
| bin | 1011101111110111000000… |
| … | …1001001100100010000000 |
| 3 | 1200201211122100120020212000 |
| 4 | 2323331300021030202000 |
| 5 | 3143112201104233023 |
| 6 | 43245530151104000 |
| 7 | 2502132352305201 |
| oct | 273756011144200 |
| 9 | 50654570506760 |
| 10 | 12916848117888 |
| 11 | 4130006025a70 |
| 12 | 1547456372000 |
| 13 | 729090861600 |
| 14 | 3292708295a8 |
| 15 | 175ee4622243 |
| hex | bbf7024c880 |
12916848117888 has 768 divisors, whose sum is σ = 45264303360000. Its totient is φ = 3594592235520.
The previous prime is 12916848117883. The next prime is 12916848117889. The reversal of 12916848117888 is 88871184861921.
12916848117888 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 68 + 481 + 1 + 7 + 8 + 88 = 666.
It is a super-3 number, since 3×129168481178883 (a number of 40 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is not an unprimeable number, because it can be changed into a prime (12916848117883) by changing a digit.
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 95 ways as a sum of consecutive naturals, for example, 1278511045 + ... + 1278521147.
It is an arithmetic number, because the mean of its divisors is an integer number (58937895000).
Almost surely, 212916848117888 is an apocalyptic number.
12916848117888 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 12916848117888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22632151680000).
12916848117888 is an abundant number, since it is smaller than the sum of its proper divisors (32347455242112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12916848117888 is a wasteful number, since it uses less digits than its factorization.
12916848117888 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10362 (or 10331 counting only the distinct ones).
The product of its digits is 99090432, while the sum is 72.
The spelling of 12916848117888 in words is "twelve trillion, nine hundred sixteen billion, eight hundred forty-eight million, one hundred seventeen thousand, eight hundred eighty-eight".
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