Base | Representation |
---|---|
bin | 11001000000101000… |
… | …00101001100000000 |
3 | 1021122202100011000000 |
4 | 30200110011030000 |
5 | 204444310140203 |
6 | 10100204000000 |
7 | 653506634154 |
oct | 144024051400 |
9 | 37582304000 |
10 | 13427036928 |
11 | 5770237638 |
12 | 2728830000 |
13 | 135c9bb686 |
14 | 91536b064 |
15 | 538ba64a3 |
hex | 320505300 |
13427036928 has 126 divisors (see below), whose sum is σ = 40184612804. Its totient is φ = 4475616768.
The previous prime is 13427036927. The next prime is 13427036929. The reversal of 13427036928 is 82963072431.
13427036928 is a `hidden beast` number, since 13 + 4 + 270 + 369 + 2 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (13427036927) and next prime (13427036929).
It is not an unprimeable number, because it can be changed into a prime (13427036927) by changing a digit.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 150651 + ... + 222597.
Almost surely, 213427036928 is an apocalyptic number.
13427036928 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 13427036928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20092306402).
13427036928 is an abundant number, since it is smaller than the sum of its proper divisors (26757575876).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13427036928 is an frugal number, since it uses more digits than its factorization.
13427036928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 71981 (or 71952 counting only the distinct ones).
The product of its (nonzero) digits is 435456, while the sum is 45.
The spelling of 13427036928 in words is "thirteen billion, four hundred twenty-seven million, thirty-six thousand, nine hundred twenty-eight".
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