| Base | Representation |
|---|---|
| bin | 1010110111100001000001… |
| … | …10110000011010100000000 |
| 3 | 10010121121021020000001000000 |
| 4 | 11123300200312003110000 |
| 5 | 11113020042230401300 |
| 6 | 122454250244000000 |
| 7 | 5014361333351400 |
| oct | 533604066032400 |
| 9 | 103547236001000 |
| 10 | 23897749075200 |
| 11 | 7683a84381480 |
| 12 | 281b663990000 |
| 13 | 104471814b070 |
| 14 | 5c892b604800 |
| 15 | 2b697e1cac00 |
| hex | 15bc20d83500 |
23897749075200 has 9072 divisors, whose sum is σ = 131314315720896. Its totient is φ = 4213820620800.
The previous prime is 23897749075127. The next prime is 23897749075253. The reversal of 23897749075200 is 257094779832.
23897749075200 is a `hidden beast` number, since 2 + 3 + 8 + 9 + 77 + 490 + 75 + 2 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (9072).
It is a super-3 number, since 3×238977490752003 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (63).
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 1007 ways as a sum of consecutive naturals, for example, 555761606379 + ... + 555761606421.
It is an arithmetic number, because the mean of its divisors is an integer number (14474682068).
Almost surely, 223897749075200 is an apocalyptic number.
23897749075200 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 23897749075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65657157860448).
23897749075200 is an abundant number, since it is smaller than the sum of its proper divisors (107416566645696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23897749075200 is a wasteful number, since it uses less digits than its factorization.
23897749075200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 142 (or 101 counting only the distinct ones).
The product of its (nonzero) digits is 53343360, while the sum is 63.
The spelling of 23897749075200 in words is "twenty-three trillion, eight hundred ninety-seven billion, seven hundred forty-nine million, seventy-five thousand, two hundred".
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