Base | Representation |
---|---|
bin | 101011110111101101… |
… | …001100100111000100 |
3 | 11111120212022000002100 |
4 | 223313231030213010 |
5 | 1232433001242234 |
6 | 33350122112100 |
7 | 3255214042062 |
oct | 536755144704 |
9 | 144525260070 |
10 | 47105493444 |
11 | 18a82906479 |
12 | 916764b630 |
13 | 45991a3559 |
14 | 23cc149032 |
15 | 135a6dd399 |
hex | af7b4c9c4 |
47105493444 has 81 divisors (see below), whose sum is σ = 121260709479. Its totient is φ = 15418379520.
The previous prime is 47105493403. The next prime is 47105493473. The reversal of 47105493444 is 44439450174.
The square root of 47105493444 is 217038.
It is a perfect power (a square), and thus also a powerful number.
47105493444 is a `hidden beast` number, since 4 + 71 + 0 + 54 + 93 + 444 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 10361204100 + 36744289344 = 101790^2 + 191688^2 .
It is a super-2 number, since 2×471054934442 (a number of 22 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 47105493444.
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79435612 + ... + 79436204.
Almost surely, 247105493444 is an apocalyptic number.
47105493444 is the 217038-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47105493444
47105493444 is an abundant number, since it is smaller than the sum of its proper divisors (74155216035).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47105493444 is an equidigital number, since it uses as much as digits as its factorization.
47105493444 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1318 (or 659 counting only the distinct ones).
The product of its (nonzero) digits is 967680, while the sum is 45.
The spelling of 47105493444 in words is "forty-seven billion, one hundred five million, four hundred ninety-three thousand, four hundred forty-four".
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