| Base | Representation |
|---|---|
| bin | 1010110101110010111101… |
| … | …00000000010010101010000 |
| 3 | 10010101221201210002121010000 |
| 4 | 11122321132200002111100 |
| 5 | 11111033030402334024 |
| 6 | 122411154302210000 |
| 7 | 5010200032152450 |
| oct | 532713640022520 |
| 9 | 103357653077100 |
| 10 | 23838653949264 |
| 11 | 7660a09755720 |
| 12 | 2810110b83900 |
| 13 | 103bc8b002c1b |
| 14 | 5c5b22db9d60 |
| 15 | 2b5171118cc9 |
| hex | 15ae5e802550 |
23838653949264 has 800 divisors, whose sum is σ = 86690562520320. Its totient is φ = 6143811379200.
The previous prime is 23838653949239. The next prime is 23838653949281. The reversal of 23838653949264 is 46294935683832.
23838653949264 is a `hidden beast` number, since 2 + 3 + 8 + 3 + 86 + 53 + 9 + 492 + 6 + 4 = 666.
It is a super-2 number, since 2×238386539492642 (a number of 28 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 23838653949192 and 23838653949201.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11411513532 + ... + 11411515620.
Almost surely, 223838653949264 is an apocalyptic number.
23838653949264 is a gapful number since it is divisible by the number (24) 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 23838653949264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43345281260160).
23838653949264 is an abundant number, since it is smaller than the sum of its proper divisors (62851908571056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23838653949264 is a wasteful number, since it uses less digits than its factorization.
23838653949264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2961 (or 2946 counting only the distinct ones).
The product of its digits is 1612431360, while the sum is 72.
The spelling of 23838653949264 in words is "twenty-three trillion, eight hundred thirty-eight billion, six hundred fifty-three million, nine hundred forty-nine thousand, two hundred sixty-four".
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