Base | Representation |
---|---|
bin | 10100000001110110… |
… | …11111001101000000 |
3 | 1000202101200122010212 |
4 | 22000323133031000 |
5 | 134010232400134 |
6 | 4535002213252 |
7 | 530320045541 |
oct | 120073371500 |
9 | 30671618125 |
10 | 10753012544 |
11 | 461888252a |
12 | 21011b4228 |
13 | 10249cb221 |
14 | 74017a4c8 |
15 | 42e052bce |
hex | 280edf340 |
10753012544 has 84 divisors (see below), whose sum is σ = 22369523460. Its totient is φ = 5128566016.
The previous prime is 10753012531. The next prime is 10753012549. The reversal of 10753012544 is 44521035701.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 1862785600 + 8890226944 = 43160^2 + 94288^2 .
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a self number, because there is not a number n which added to its sum of digits gives 10753012544.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10753012549) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129554327 + ... + 129554409.
Almost surely, 210753012544 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 10753012544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11184761730).
10753012544 is an abundant number, since it is smaller than the sum of its proper divisors (11616510916).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10753012544 is an frugal number, since it uses more digits than its factorization.
10753012544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 265 (or 114 counting only the distinct ones).
The product of its (nonzero) digits is 16800, while the sum is 32.
The spelling of 10753012544 in words is "ten billion, seven hundred fifty-three million, twelve thousand, five hundred forty-four".
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