| Base | Representation |
|---|---|
| bin | 1000100010111011101… |
| … | …0111000110010100000 |
| 3 | 112000221212100110120000 |
| 4 | 2020232322320302200 |
| 5 | 4401134403430320 |
| 6 | 151240230020000 |
| 7 | 13415145030540 |
| oct | 2105672706240 |
| 9 | 460855313500 |
| 10 | 146816076960 |
| 11 | 5729a9366a3 |
| 12 | 245544a7600 |
| 13 | 10ac9a4c527 |
| 14 | 716a98d320 |
| 15 | 3c44309c90 |
| hex | 222eeb8ca0 |
146816076960 has 960 divisors, whose sum is σ = 614016184320. Its totient is φ = 32338206720.
The previous prime is 146816076959. The next prime is 146816076961. The reversal of 146816076960 is 69670618641.
It is a happy number.
146816076960 is a `hidden beast` number, since 1 + 468 + 1 + 60 + 7 + 69 + 60 = 666.
It is an interprime number because it is at equal distance from previous prime (146816076959) and next prime (146816076961).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 146816076897 and 146816076906.
It is not an unprimeable number, because it can be changed into a prime (146816076961) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 641118126 + ... + 641118354.
It is an arithmetic number, because the mean of its divisors is an integer number (639600192).
Almost surely, 2146816076960 is an apocalyptic number.
146816076960 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 146816076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307008092160).
146816076960 is an abundant number, since it is smaller than the sum of its proper divisors (467200107360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146816076960 is a wasteful number, since it uses less digits than its factorization.
146816076960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 491 (or 474 counting only the distinct ones).
The product of its (nonzero) digits is 2612736, while the sum is 54.
The spelling of 146816076960 in words is "one hundred forty-six billion, eight hundred sixteen million, seventy-six thousand, nine hundred sixty".
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