| Base | Representation |
|---|---|
| bin | 101100011010000010… |
| … | …010110100000000000 |
| 3 | 11120002000002100121000 |
| 4 | 230122002112200000 |
| 5 | 1240122423324240 |
| 6 | 33523215132000 |
| 7 | 3305406521340 |
| oct | 543202264000 |
| 9 | 146060070530 |
| 10 | 47681464320 |
| 11 | 19248a41966 |
| 12 | 92a8514000 |
| 13 | 465b607b19 |
| 14 | 2444838d20 |
| 15 | 1391061430 |
| hex | b1a096800 |
47681464320 has 768 divisors, whose sum is σ = 197000294400. Its totient is φ = 10714152960.
The previous prime is 47681464319. The next prime is 47681464321. The reversal of 47681464320 is 2346418674.
47681464320 is a `hidden beast` number, since 4 + 76 + 8 + 146 + 432 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (47681464319) and next prime (47681464321).
It is a tau number, because it is divible by the number of its divisors (768).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (47681464321) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137410387 + ... + 137410733.
It is an arithmetic number, because the mean of its divisors is an integer number (256510800).
Almost surely, 247681464320 is an apocalyptic number.
47681464320 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 47681464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98500147200).
47681464320 is an abundant number, since it is smaller than the sum of its proper divisors (149318830080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47681464320 is a wasteful number, since it uses less digits than its factorization.
47681464320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 461 (or 435 counting only the distinct ones).
The product of its (nonzero) digits is 774144, while the sum is 45.
The spelling of 47681464320 in words is "forty-seven billion, six hundred eighty-one million, four hundred sixty-four thousand, three hundred twenty".
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