Base | Representation |
---|---|
bin | 100001001011101000… |
… | …010111111101001100 |
3 | 10101222000112002111000 |
4 | 201023220113331030 |
5 | 1040431411112302 |
6 | 24211220500300 |
7 | 2400624134415 |
oct | 411350277514 |
9 | 111860462430 |
10 | 35628613452 |
11 | 14123472693 |
12 | 6aa3b4a690 |
13 | 348a52a3c3 |
14 | 1a1dbc080c |
15 | dd7d5131c |
hex | 84ba17f4c |
35628613452 has 108 divisors (see below), whose sum is σ = 94892570920. Its totient is φ = 11560386240.
The previous prime is 35628613403. The next prime is 35628613457. The reversal of 35628613452 is 25431682653.
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.
35628613452 is a `hidden beast` number, since 3 + 5 + 6 + 28 + 613 + 4 + 5 + 2 = 666.
35628613452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (108).
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 35628613398 and 35628613407.
It is not an unprimeable number, because it can be changed into a prime (35628613457) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80425543 + ... + 80425985.
Almost surely, 235628613452 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 35628613452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47446285460).
35628613452 is an abundant number, since it is smaller than the sum of its proper divisors (59263957468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35628613452 is an equidigital number, since it uses as much as digits as its factorization.
35628613452 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 981 (or 489 counting only the distinct ones).
The product of its digits is 1036800, while the sum is 45.
The spelling of 35628613452 in words is "thirty-five billion, six hundred twenty-eight million, six hundred thirteen thousand, four hundred fifty-two".
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