| Base | Representation |
|---|---|
| bin | 10100110101100001110000… |
| … | …10100111111000010000000 |
| 3 | 20000020022112121200012012000 |
| 4 | 22122300320110333002000 |
| 5 | 22001202123432421010 |
| 6 | 241241132012304000 |
| 7 | 12436234536036231 |
| oct | 1232607024770200 |
| 9 | 200208477605160 |
| 10 | 45819656138880 |
| 11 | 136660094133a8 |
| 12 | 51801a6172000 |
| 13 | 1c74a0c9990b0 |
| 14 | b4597c95d088 |
| 15 | 546d1b1c67c0 |
| hex | 29ac3853f080 |
45819656138880 has 2048 divisors, whose sum is σ = 189443826432000. Its totient is φ = 10372390060032.
The previous prime is 45819656138849. The next prime is 45819656138881. The reversal of 45819656138880 is 8883165691854.
45819656138880 is a `hidden beast` number, since 4 + 5 + 8 + 196 + 56 + 1 + 388 + 8 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 45819656138799 and 45819656138808.
It is not an unprimeable number, because it can be changed into a prime (45819656138881) 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 255 ways as a sum of consecutive naturals, for example, 46898316952 + ... + 46898317928.
It is an arithmetic number, because the mean of its divisors is an integer number (92501868375).
Almost surely, 245819656138880 is an apocalyptic number.
45819656138880 is a gapful number since it is divisible by the number (40) 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 45819656138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94721913216000).
45819656138880 is an abundant number, since it is smaller than the sum of its proper divisors (143624170293120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45819656138880 is a wasteful number, since it uses less digits than its factorization.
45819656138880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1383 (or 1365 counting only the distinct ones).
The product of its (nonzero) digits is 398131200, while the sum is 72.
The spelling of 45819656138880 in words is "forty-five trillion, eight hundred nineteen billion, six hundred fifty-six million, one hundred thirty-eight thousand, eight hundred eighty".
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