Base | Representation |
---|---|
bin | 111101001101111111… |
… | …1111001111001010000 |
3 | 110120100002220221012000 |
4 | 1322123333321321100 |
5 | 4123220324131233 |
6 | 140221133434000 |
7 | 12332566412166 |
oct | 1723377717120 |
9 | 416302827160 |
10 | 131466239568 |
11 | 508332a0674 |
12 | 2158b93b900 |
13 | c5218a6301 |
14 | 6512101236 |
15 | 364693ed13 |
hex | 1e9bff9e50 |
131466239568 has 160 divisors (see below), whose sum is σ = 386873988480. Its totient is φ = 42718602240.
The previous prime is 131466239563. The next prime is 131466239579. The reversal of 131466239568 is 865932664131.
131466239568 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 6 + 623 + 9 + 5 + 6 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131466239563) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30692755 + ... + 30697037.
It is an arithmetic number, because the mean of its divisors is an integer number (2417962428).
Almost surely, 2131466239568 is an apocalyptic number.
131466239568 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 131466239568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193436994240).
131466239568 is an abundant number, since it is smaller than the sum of its proper divisors (255407748912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131466239568 is a wasteful number, since it uses less digits than its factorization.
131466239568 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6074 (or 6062 counting only the distinct ones).
The product of its digits is 5598720, while the sum is 54.
The spelling of 131466239568 in words is "one hundred thirty-one billion, four hundred sixty-six million, two hundred thirty-nine thousand, five hundred sixty-eight".
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