Base | Representation |
---|---|
bin | 10101100010000001101110… |
… | …01001011010001001010110 |
3 | 20012122111010110101000112200 |
4 | 22301000313021122021112 |
5 | 22201230011014344444 |
6 | 244411400031225330 |
7 | 12654553361164545 |
oct | 1261006711321126 |
9 | 205574113330480 |
10 | 47348644684374 |
11 | 140a54a1603000 |
12 | 5388599378246 |
13 | 2055c5ba599a7 |
14 | b9998818415c |
15 | 5719a84a4969 |
hex | 2b103725a256 |
47348644684374 has 96 divisors (see below), whose sum is σ = 112845997199520. Its totient is φ = 14347298306880.
The previous prime is 47348644684357. The next prime is 47348644684457.
47348644684374 is a `hidden beast` number, since 4 + 7 + 3 + 486 + 44 + 68 + 43 + 7 + 4 = 666.
47348644684374 is nontrivially palindromic in base 10.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569895324 + ... + 569978400.
It is an arithmetic number, because the mean of its divisors is an integer number (1175479137495).
Almost surely, 247348644684374 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47348644684374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56422998599760).
47348644684374 is an abundant number, since it is smaller than the sum of its proper divisors (65497352515146).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47348644684374 is a wasteful number, since it uses less digits than its factorization.
47348644684374 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 106907 (or 106882 counting only the distinct ones).
The product of its digits is 4161798144, while the sum is 72.
The spelling of 47348644684374 in words is "forty-seven trillion, three hundred forty-eight billion, six hundred forty-four million, six hundred eighty-four thousand, three hundred seventy-four".
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