Base | Representation |
---|---|
bin | 1010110101000010000001… |
… | …10101000000000000000000 |
3 | 10010022102221010221000000000 |
4 | 11122201000311000000000 |
5 | 11110120231344340410 |
6 | 122351132000000000 |
7 | 5005250063061135 |
oct | 532410065000000 |
9 | 103272833830000 |
10 | 23812386324480 |
11 | 765085a324406 |
12 | 2807000000000 |
13 | 1039662c88890 |
14 | 5c475053c58c |
15 | 2b4634eeddc0 |
hex | 15a840d40000 |
23812386324480 has 1520 divisors, whose sum is σ = 93617290698624. Its totient is φ = 5778953994240.
The previous prime is 23812386324469. The next prime is 23812386324481. The reversal of 23812386324480 is 8442368321832.
23812386324480 is a `hidden beast` number, since 2 + 3 + 8 + 1 + 238 + 6 + 324 + 4 + 80 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23812386324481) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 335385722845 + ... + 335385722915.
Almost surely, 223812386324480 is an apocalyptic number.
23812386324480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23812386324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46808645349312).
23812386324480 is an abundant number, since it is smaller than the sum of its proper divisors (69804904374144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23812386324480 is an frugal number, since it uses more digits than its factorization.
23812386324480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 152 (or 94 counting only the distinct ones).
The product of its (nonzero) digits is 10616832, while the sum is 54.
The spelling of 23812386324480 in words is "twenty-three trillion, eight hundred twelve billion, three hundred eighty-six million, three hundred twenty-four thousand, four hundred eighty".
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