Base | Representation |
---|---|
bin | 10110000111010110… |
… | …110010011101100000 |
3 | 2021021212210022000000 |
4 | 112013112302131200 |
5 | 342112402000441 |
6 | 14524133300000 |
7 | 1500304261431 |
oct | 260726623540 |
9 | 67255708000 |
10 | 23745734496 |
11 | a085936870 |
12 | 4728494600 |
13 | 2315722293 |
14 | 121396d488 |
15 | 93ea182b6 |
hex | 5875b2760 |
23745734496 has 672 divisors, whose sum is σ = 81764829216. Its totient is φ = 6718464000.
The previous prime is 23745734489. The next prime is 23745734567. The reversal of 23745734496 is 69443754732.
It is a happy number.
23745734496 is a `hidden beast` number, since 2 + 3 + 74 + 57 + 34 + 496 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 389274306 + ... + 389274366.
It is an arithmetic number, because the mean of its divisors is an integer number (121673853).
Almost surely, 223745734496 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 23745734496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40882414608).
23745734496 is an abundant number, since it is smaller than the sum of its proper divisors (58019094720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23745734496 is a wasteful number, since it uses less digits than its factorization.
23745734496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 178 (or 155 counting only the distinct ones).
The product of its digits is 15240960, while the sum is 54.
It can be divided in two parts, 237457 and 34496, that added together give a triangular number (271953 = T737).
The spelling of 23745734496 in words is "twenty-three billion, seven hundred forty-five million, seven hundred thirty-four thousand, four hundred ninety-six".
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