Base | Representation |
---|---|
bin | 10110001110111001… |
… | …001111010010000000 |
3 | 2021121200202201020000 |
4 | 112032321033102000 |
5 | 342342241042302 |
6 | 14544452120000 |
7 | 1503401255040 |
oct | 261671172200 |
9 | 67550681200 |
10 | 23872205952 |
11 | a140268731 |
12 | 4762906000 |
13 | 23359a396a |
14 | 1226691720 |
15 | 94ab9b31c |
hex | 58ee4f480 |
23872205952 has 320 divisors, whose sum is σ = 82053565440. Its totient is φ = 6748323840.
The previous prime is 23872205939. The next prime is 23872206011. The reversal of 23872205952 is 25950227832.
23872205952 is a `hidden beast` number, since 2 + 38 + 7 + 2 + 20 + 595 + 2 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 23872205898 and 23872205907.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7038177 + ... + 7041567.
It is an arithmetic number, because the mean of its divisors is an integer number (256417392).
Almost surely, 223872205952 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 23872205952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41026782720).
23872205952 is an abundant number, since it is smaller than the sum of its proper divisors (58181359488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23872205952 is an equidigital number, since it uses as much as digits as its factorization.
23872205952 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3521 (or 3500 counting only the distinct ones).
The product of its (nonzero) digits is 604800, while the sum is 45.
The spelling of 23872205952 in words is "twenty-three billion, eight hundred seventy-two million, two hundred five thousand, nine hundred fifty-two".
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