Base | Representation |
---|---|
bin | 10101100011000001100011… |
… | …01100111010100100000000 |
3 | 20012202202120200101020110222 |
4 | 22301200301230322210000 |
5 | 22202310201221123024 |
6 | 244435224301442212 |
7 | 12660205520504435 |
oct | 1261406154724400 |
9 | 205682520336428 |
10 | 47382913067264 |
11 | 14108a8717a2a5 |
12 | 5393161870368 |
13 | 2059260521228 |
14 | b9b4b9445b8c |
15 | 572811bb985e |
hex | 2b1831b3a900 |
47382913067264 has 144 divisors (see below), whose sum is σ = 99987696876480. Its totient is φ = 22348006686720.
The previous prime is 47382913067227. The next prime is 47382913067267. The reversal of 47382913067264 is 46276031928374.
It is a junction number, because it is equal to n+sod(n) for n = 47382913067197 and 47382913067206.
It is not an unprimeable number, because it can be changed into a prime (47382913067267) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1186421504 + ... + 1186461440.
Almost surely, 247382913067264 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47382913067264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49993848438240).
47382913067264 is an abundant number, since it is smaller than the sum of its proper divisors (52604783809216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47382913067264 is a wasteful number, since it uses less digits than its factorization.
47382913067264 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 41016 (or 41002 counting only the distinct ones).
The product of its (nonzero) digits is 73156608, while the sum is 62.
The spelling of 47382913067264 in words is "forty-seven trillion, three hundred eighty-two billion, nine hundred thirteen million, sixty-seven thousand, two hundred sixty-four".
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