Base | Representation |
---|---|
bin | 10101110010001001… |
… | …110010100000000000 |
3 | 2020101002102101012200 |
4 | 111302021302200000 |
5 | 340400320131443 |
6 | 14424544553200 |
7 | 1455424523061 |
oct | 256211624000 |
9 | 66332371180 |
10 | 23390005248 |
11 | 9a13059155 |
12 | 4649322800 |
13 | 2289b113bc |
14 | 11bc610568 |
15 | 91d69bdd3 |
hex | 572272800 |
23390005248 has 144 divisors (see below), whose sum is σ = 69382453140. Its totient is φ = 7585726464.
The previous prime is 23390005217. The next prime is 23390005279. The reversal of 23390005248 is 84250009332.
23390005248 is a `hidden beast` number, since 23 + 390 + 0 + 0 + 5 + 248 = 666.
It is an interprime number because it is at equal distance from previous prime (23390005217) and next prime (23390005279).
It can be written as a sum of positive squares in 2 ways, for example, as 17883177984 + 5506827264 = 133728^2 + 74208^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 664836 + ... + 699132.
Almost surely, 223390005248 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 23390005248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34691226570).
23390005248 is an abundant number, since it is smaller than the sum of its proper divisors (45992447892).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23390005248 is a wasteful number, since it uses less digits than its factorization.
23390005248 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 34362 (or 34339 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The spelling of 23390005248 in words is "twenty-three billion, three hundred ninety million, five thousand, two hundred forty-eight".
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