Base | Representation |
---|---|
bin | 10101110000101001… |
… | …111101000000000000 |
3 | 2020022100011000012000 |
4 | 111300221331000000 |
5 | 340322402214212 |
6 | 14422250304000 |
7 | 1455001136523 |
oct | 256051750000 |
9 | 66270130160 |
10 | 23364882432 |
11 | 99aa959aa1 |
12 | 4640a28000 |
13 | 2284856328 |
14 | 11b9150bba |
15 | 91b3881dc |
hex | 570a7d000 |
23364882432 has 104 divisors (see below), whose sum is σ = 69221158080. Its totient is φ = 7788257280.
The previous prime is 23364882427. The next prime is 23364882439. The reversal of 23364882432 is 23428846332.
It is a super-2 number, since 2×233648824322 (a number of 22 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23364882439) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4957 + ... + 216227.
Almost surely, 223364882432 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 23364882432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34610579040).
23364882432 is an abundant number, since it is smaller than the sum of its proper divisors (45856275648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23364882432 is an equidigital number, since it uses as much as digits as its factorization.
23364882432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 211304 (or 211276 counting only the distinct ones).
The product of its digits is 1327104, while the sum is 45.
The spelling of 23364882432 in words is "twenty-three billion, three hundred sixty-four million, eight hundred eighty-two thousand, four hundred thirty-two".
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