| Base | Representation |
|---|---|
| bin | 1110100010011001101000… |
| … | …10101101010111000000000 |
| 3 | 11012012010211011102121101000 |
| 4 | 13101030310111222320000 |
| 5 | 13142232104314230000 |
| 6 | 151554013205012000 |
| 7 | 6506430522540264 |
| oct | 721146425527000 |
| 9 | 135163734377330 |
| 10 | 31968319680000 |
| 11 | a2057630575a0 |
| 12 | 37038116b4000 |
| 13 | 14ab7a4462832 |
| 14 | 7c73bc5900a4 |
| 15 | 3a68818b5000 |
| hex | 1d133456ae00 |
31968319680000 has 1600 divisors, whose sum is σ = 132498489911040. Its totient is φ = 7539609600000.
The previous prime is 31968319679993. The next prime is 31968319680001. The reversal of 31968319680000 is 8691386913.
31968319680000 is a `hidden beast` number, since 319 + 6 + 8 + 319 + 6 + 8 + 0 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1600).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (31968319680001) 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 159 ways as a sum of consecutive naturals, for example, 3516475455 + ... + 3516484545.
Almost surely, 231968319680000 is an apocalyptic number.
31968319680000 is a gapful number since it is divisible by the number (30) 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 31968319680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66249244955520).
31968319680000 is an abundant number, since it is smaller than the sum of its proper divisors (100530170231040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31968319680000 is an equidigital number, since it uses as much as digits as its factorization.
31968319680000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9186 (or 9149 counting only the distinct ones).
The product of its (nonzero) digits is 1679616, while the sum is 54.
It can be divided in two parts, 31968 and 319680000, that multiplied together give a square (10219530240000 = 31968002).
The spelling of 31968319680000 in words is "thirty-one trillion, nine hundred sixty-eight billion, three hundred nineteen million, six hundred eighty thousand".
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