Base | Representation |
---|---|
bin | 10101100100100000… |
… | …000000100000100000 |
3 | 2012210010102002210100 |
4 | 111210200000200200 |
5 | 334413200330033 |
6 | 14350123302400 |
7 | 1446643546656 |
oct | 254440004040 |
9 | 65703362710 |
10 | 23160948768 |
11 | 990582a681 |
12 | 45a467aa00 |
13 | 2251522719 |
14 | 119a026dd6 |
15 | 908503513 |
hex | 564800820 |
23160948768 has 144 divisors (see below), whose sum is σ = 67379195520. Its totient is φ = 7543269888.
The previous prime is 23160948751. The next prime is 23160948781. The reversal of 23160948768 is 86784906132.
23160948768 is a `hidden beast` number, since 23 + 1 + 609 + 4 + 8 + 7 + 6 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
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, 11193238 + ... + 11195306.
It is an arithmetic number, because the mean of its divisors is an integer number (467911080).
Almost surely, 223160948768 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 23160948768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33689597760).
23160948768 is an abundant number, since it is smaller than the sum of its proper divisors (44218246752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23160948768 is a wasteful number, since it uses less digits than its factorization.
23160948768 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2959 (or 2948 counting only the distinct ones).
The product of its (nonzero) digits is 3483648, while the sum is 54.
The spelling of 23160948768 in words is "twenty-three billion, one hundred sixty million, nine hundred forty-eight thousand, seven hundred sixty-eight".
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