| Base | Representation |
|---|---|
| bin | 11001101000100000110110… |
| … | …110111000010101100000000 |
| 3 | 112210011101022110021012120000 |
| 4 | 121220200312313002230000 |
| 5 | 104234023213311442000 |
| 6 | 1035433502423320000 |
| 7 | 32513564616003300 |
| oct | 3150406667025400 |
| 9 | 483141273235500 |
| 10 | 112735221984000 |
| 11 | 32a14814899560 |
| 12 | 10788a118b0000 |
| 13 | 4ab9b691a9bc5 |
| 14 | 1dba5b18a7600 |
| 15 | d0777da76000 |
| hex | 668836dc2b00 |
112735221984000 has 8640 divisors, whose sum is σ = 582701358919680. Its totient is φ = 21319925760000.
The previous prime is 112735221983977. The next prime is 112735221984017. The reversal of 112735221984000 is 489122537211.
112735221984000 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 3 + 52 + 2 + 198 + 400 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (8640).
It is a super-3 number, since 3×1127352219840003 (a number of 43 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
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 959 ways as a sum of consecutive naturals, for example, 822884831932 + ... + 822884832068.
It is an arithmetic number, because the mean of its divisors is an integer number (67442286912).
Almost surely, 2112735221984000 is an apocalyptic number.
112735221984000 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 112735221984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291350679459840).
112735221984000 is an abundant number, since it is smaller than the sum of its proper divisors (469966136935680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112735221984000 is a wasteful number, since it uses less digits than its factorization.
112735221984000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 255 (or 215 counting only the distinct ones).
The product of its (nonzero) digits is 241920, while the sum is 45.
The spelling of 112735221984000 in words is "one hundred twelve trillion, seven hundred thirty-five billion, two hundred twenty-one million, nine hundred eighty-four thousand".
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