| Base | Representation |
|---|---|
| bin | 10101010110010001101001… |
| … | …00111100101000000000000 |
| 3 | 20011012212221002002220012200 |
| 4 | 22223020310213211000000 |
| 5 | 22123121101041220210 |
| 6 | 243502102240553200 |
| 7 | 12613440526305000 |
| oct | 1253106447450000 |
| 9 | 204185832086180 |
| 10 | 46944875335680 |
| 11 | 13a5a2343051a3 |
| 12 | 5322293922800 |
| 13 | 2026b6252680a |
| 14 | b8420354c000 |
| 15 | 566225be70c0 |
| hex | 2ab2349e5000 |
46944875335680 has 2496 divisors, whose sum is σ = 207554959872000. Its totient is φ = 9766352977920.
The previous prime is 46944875335667. The next prime is 46944875335717. The reversal of 46944875335680 is 8653357844964.
It is a happy number.
46944875335680 is a `hidden beast` number, since 4 + 6 + 9 + 4 + 4 + 8 + 7 + 53 + 3 + 568 + 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 = 46944875335599 and 46944875335608.
It is a congruent number.
It is an unprimeable number.
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 191 ways as a sum of consecutive naturals, for example, 33317866816 + ... + 33317868224.
It is an arithmetic number, because the mean of its divisors is an integer number (83155032000).
Almost surely, 246944875335680 is an apocalyptic number.
46944875335680 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 46944875335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103777479936000).
46944875335680 is an abundant number, since it is smaller than the sum of its proper divisors (160610084536320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46944875335680 is a wasteful number, since it uses less digits than its factorization.
46944875335680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1513 (or 1474 counting only the distinct ones).
The product of its (nonzero) digits is 2090188800, while the sum is 72.
The spelling of 46944875335680 in words is "forty-six trillion, nine hundred forty-four billion, eight hundred seventy-five million, three hundred thirty-five thousand, six hundred eighty".
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