Base | Representation |
---|---|
bin | 11001110001101011… |
… | …00101010111001000 |
3 | 1022201102112020201000 |
4 | 30320311211113020 |
5 | 211320122111043 |
6 | 10205102255000 |
7 | 666634035210 |
oct | 147065452710 |
9 | 38642466630 |
10 | 13838472648 |
11 | 5961503360 |
12 | 2822587460 |
13 | 13c7005170 |
14 | 953c6b240 |
15 | 55ed782d3 |
hex | 338d655c8 |
13838472648 has 512 divisors, whose sum is σ = 53415936000. Its totient is φ = 3202053120.
The previous prime is 13838472547. The next prime is 13838472653. The reversal of 13838472648 is 84627483831.
13838472648 is a `hidden beast` number, since 138 + 38 + 472 + 6 + 4 + 8 = 666.
13838472648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 13838472594 and 13838472603.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6269161 + ... + 6271367.
It is an arithmetic number, because the mean of its divisors is an integer number (104328000).
Almost surely, 213838472648 is an apocalyptic number.
13838472648 is a gapful number since it is divisible by the number (18) 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 13838472648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26707968000).
13838472648 is an abundant number, since it is smaller than the sum of its proper divisors (39577463352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13838472648 is a wasteful number, since it uses less digits than its factorization.
13838472648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2282 (or 2272 counting only the distinct ones).
The product of its digits is 6193152, while the sum is 54.
The spelling of 13838472648 in words is "thirteen billion, eight hundred thirty-eight million, four hundred seventy-two thousand, six hundred forty-eight".
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