Base | Representation |
---|---|
bin | 111011101100100110… |
… | …101100010110000000 |
3 | 20010110011210002010100 |
4 | 323230212230112000 |
5 | 2022233332430344 |
6 | 45240254202400 |
7 | 4426302300354 |
oct | 735446542600 |
9 | 203404702110 |
10 | 64099108224 |
11 | 25203303808 |
12 | 1050a7b3400 |
13 | 6076a6c508 |
14 | 3161045464 |
15 | 1a02553569 |
hex | eec9ac580 |
64099108224 has 96 divisors (see below), whose sum is σ = 184904202600. Its totient is φ = 21313972224.
The previous prime is 64099108223. The next prime is 64099108231. The reversal of 64099108224 is 42280199046.
64099108224 is a `hidden beast` number, since 6 + 409 + 9 + 10 + 8 + 224 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×640991082242 (a number of 22 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 64099108224.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (64099108223) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403147 + ... + 539189.
Almost surely, 264099108224 is an apocalyptic number.
64099108224 is a gapful number since it is divisible by the number (64) 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 64099108224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92452101300).
64099108224 is an abundant number, since it is smaller than the sum of its proper divisors (120805094376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64099108224 is a wasteful number, since it uses less digits than its factorization.
64099108224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 136472 (or 136457 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 45.
The spelling of 64099108224 in words is "sixty-four billion, ninety-nine million, one hundred eight thousand, two hundred twenty-four".
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