Base | Representation |
---|---|
bin | 10101100011000000… |
… | …110111011100100000 |
3 | 2012201101110222110000 |
4 | 111203000313130200 |
5 | 334340304223333 |
6 | 14343432540000 |
7 | 1446221552163 |
oct | 254300673440 |
9 | 65641428400 |
10 | 23136007968 |
11 | 98a2745247 |
12 | 4598251600 |
13 | 22492cc458 |
14 | 11969b3ada |
15 | 906228713 |
hex | 563037720 |
23136007968 has 120 divisors (see below), whose sum is σ = 68975007948. Its totient is φ = 7606296576.
The previous prime is 23136007967. The next prime is 23136007969. The reversal of 23136007968 is 86970063132.
23136007968 is a `hidden beast` number, since 2 + 31 + 3 + 600 + 7 + 9 + 6 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (23136007967) and next prime (23136007969).
It can be written as a sum of positive squares in 2 ways, for example, as 21924132624 + 1211875344 = 148068^2 + 34812^2 .
It is not an unprimeable number, because it can be changed into a prime (23136007967) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 128080 + ... + 250352.
Almost surely, 223136007968 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 23136007968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34487503974).
23136007968 is an abundant number, since it is smaller than the sum of its proper divisors (45838999980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23136007968 is a wasteful number, since it uses less digits than its factorization.
23136007968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 122368 (or 122351 counting only the distinct ones).
The product of its (nonzero) digits is 326592, while the sum is 45.
The spelling of 23136007968 in words is "twenty-three billion, one hundred thirty-six million, seven thousand, nine hundred sixty-eight".
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