Base | Representation |
---|---|
bin | 11001010011000110… |
… | …01110001000000000 |
3 | 1022001112221010020202 |
4 | 30221203032020000 |
5 | 210303443010030 |
6 | 10123421224332 |
7 | 660401046335 |
oct | 145143161000 |
9 | 38045833222 |
10 | 13582000640 |
11 | 583a75a11a |
12 | 27707020a8 |
13 | 1385b37990 |
14 | 92bb8898c |
15 | 5475b6745 |
hex | 3298ce200 |
13582000640 has 160 divisors (see below), whose sum is σ = 35889327936. Its totient is φ = 4897751040.
The previous prime is 13582000633. The next prime is 13582000651. The reversal of 13582000640 is 4600028531.
It is a tau number, because it is divible by the number of its divisors (160).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1426295 + ... + 1435785.
Almost surely, 213582000640 is an apocalyptic number.
13582000640 is a gapful number since it is divisible by the number (10) 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 13582000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17944663968).
13582000640 is an abundant number, since it is smaller than the sum of its proper divisors (22307327296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13582000640 is an equidigital number, since it uses as much as digits as its factorization.
With its predecessor (13582000639) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (9554).
13582000640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9570 (or 9554 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 29.
The spelling of 13582000640 in words is "thirteen billion, five hundred eighty-two million, six hundred forty", and thus it is an aban number.
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