| Base | Representation |
|---|---|
| bin | 101100000011111110… |
| … | …111011010101000000 |
| 3 | 11112010012212120211200 |
| 4 | 230003332323111000 |
| 5 | 1233343213432330 |
| 6 | 33422400541200 |
| 7 | 3263264561400 |
| oct | 540376732500 |
| 9 | 145105776750 |
| 10 | 47311467840 |
| 11 | 190790aa04a |
| 12 | 9204621800 |
| 13 | 45cca6ccb0 |
| 14 | 240b644800 |
| 15 | 136d827a60 |
| hex | b03fbb540 |
47311467840 has 2016 divisors, whose sum is σ = 227094495264. Its totient is φ = 8918138880.
The previous prime is 47311467809. The next prime is 47311467869. The reversal of 47311467840 is 4876411374.
47311467840 is a `hidden beast` number, since 473 + 114 + 67 + 8 + 4 + 0 = 666.
47311467840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 16 ways, for example, as 13593694464 + 33717773376 = 116592^2 + 183624^2 .
It is a tau number, because it is divible by the number of its divisors (2016).
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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1153938220 + ... + 1153938260.
It is an arithmetic number, because the mean of its divisors is an integer number (112646079).
Almost surely, 247311467840 is an apocalyptic number.
47311467840 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 47311467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113547247632).
47311467840 is an abundant number, since it is smaller than the sum of its proper divisors (179783027424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47311467840 is a wasteful number, since it uses less digits than its factorization.
47311467840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 145 (or 125 counting only the distinct ones).
The product of its (nonzero) digits is 451584, while the sum is 45.
The spelling of 47311467840 in words is "forty-seven billion, three hundred eleven million, four hundred sixty-seven thousand, eight hundred forty".
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