Base | Representation |
---|---|
bin | 10111010101010111… |
… | …10100010010100000 |
3 | 1012100001022020120100 |
4 | 23222223310102200 |
5 | 201123441231004 |
6 | 5431023142400 |
7 | 622303126632 |
oct | 135253642240 |
9 | 35301266510 |
10 | 12527289504 |
11 | 5349368024 |
12 | 2517444a00 |
13 | 1248482c52 |
14 | 86ba78a52 |
15 | 4d4bc9739 |
hex | 2eaaf44a0 |
12527289504 has 144 divisors (see below), whose sum is σ = 36932601888. Its totient is φ = 4024567296.
The previous prime is 12527289499. The next prime is 12527289539. The reversal of 12527289504 is 40598272521.
12527289504 is a `hidden beast` number, since 12 + 52 + 7 + 2 + 89 + 504 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a self number, because there is not a number n which added to its sum of digits gives 12527289504.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1134699 + ... + 1145685.
It is an arithmetic number, because the mean of its divisors is an integer number (256476402).
Almost surely, 212527289504 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 12527289504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18466300944).
12527289504 is an abundant number, since it is smaller than the sum of its proper divisors (24405312384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12527289504 is a wasteful number, since it uses less digits than its factorization.
12527289504 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11147 (or 11136 counting only the distinct ones).
The product of its (nonzero) digits is 403200, while the sum is 45.
The spelling of 12527289504 in words is "twelve billion, five hundred twenty-seven million, two hundred eighty-nine thousand, five hundred four".
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