| Base | Representation |
|---|---|
| bin | 11001101010001111110001… |
| … | …001100000000101110000000 |
| 3 | 112210120202201001102222100000 |
| 4 | 121222033301030000232000 |
| 5 | 104243001112403111003 |
| 6 | 1040004315535200000 |
| 7 | 32525312026543050 |
| oct | 3152176114005600 |
| 9 | 483522631388300 |
| 10 | 112854312160128 |
| 11 | 32a60277121520 |
| 12 | 107a7b08976000 |
| 13 | 4ac8167a3b246 |
| 14 | 1dc226c057560 |
| 15 | d0a8edc0e1a3 |
| hex | 66a3f1300b80 |
112854312160128 has 1536 divisors, whose sum is σ = 430073833512960. Its totient is φ = 28609459200000.
The previous prime is 112854312160097. The next prime is 112854312160129. The reversal of 112854312160128 is 821061213458211.
112854312160128 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 5 + 4 + 3 + 12 + 1 + 601 + 28 = 666.
It is a super-2 number, since 2×1128543121601282 (a number of 29 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (112854312160129) 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 191 ways as a sum of consecutive naturals, for example, 17174599083 + ... + 17174605653.
It is an arithmetic number, because the mean of its divisors is an integer number (279995985360).
Almost surely, 2112854312160128 is an apocalyptic number.
112854312160128 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 112854312160128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215036916756480).
112854312160128 is an abundant number, since it is smaller than the sum of its proper divisors (317219521352832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112854312160128 is a wasteful number, since it uses less digits than its factorization.
112854312160128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6790 (or 6766 counting only the distinct ones).
The product of its (nonzero) digits is 184320, while the sum is 45.
The spelling of 112854312160128 in words is "one hundred twelve trillion, eight hundred fifty-four billion, three hundred twelve million, one hundred sixty thousand, one hundred twenty-eight".
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