Base | Representation |
---|---|
bin | 11001100101010110… |
… | …00111100000110000 |
3 | 1022110012221121222010 |
4 | 30302223013200300 |
5 | 211112134100043 |
6 | 10150530042520 |
7 | 664240063113 |
oct | 146253074060 |
9 | 38405847863 |
10 | 13735065648 |
11 | 59090a5127 |
12 | 27b3a19440 |
13 | 13ab76a9a5 |
14 | 94423057a |
15 | 555c4e133 |
hex | 332ac7830 |
13735065648 has 80 divisors (see below), whose sum is σ = 37373302400. Its totient is φ = 4334653440.
The previous prime is 13735065647. The next prime is 13735065679. The reversal of 13735065648 is 84656053731.
It is a super-3 number, since 3×137350656483 (a number of 31 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a junction number, because it is equal to n+sod(n) for n = 13735065597 and 13735065606.
It is not an unprimeable number, because it can be changed into a prime (13735065647) 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, 1830288 + ... + 1837776.
It is an arithmetic number, because the mean of its divisors is an integer number (467166280).
Almost surely, 213735065648 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 13735065648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18686651200).
13735065648 is an abundant number, since it is smaller than the sum of its proper divisors (23638236752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13735065648 is a wasteful number, since it uses less digits than its factorization.
13735065648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9530 (or 9524 counting only the distinct ones).
The product of its (nonzero) digits is 1814400, while the sum is 48.
The spelling of 13735065648 in words is "thirteen billion, seven hundred thirty-five million, sixty-five thousand, six hundred forty-eight".
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