| Base | Representation |
|---|---|
| bin | 110100011100010101011001… |
| … | …010111110011010000000000 |
| 3 | 1010020122111110010021210111000 |
| 4 | 310130111121113303100000 |
| 5 | 220212344030233031302 |
| 6 | 2134313033020052000 |
| 7 | 66403406306655426 |
| oct | 6434253127632000 |
| 9 | 1106574403253430 |
| 10 | 230645538173952 |
| 11 | 67544250423000 |
| 12 | 21a50798094000 |
| 13 | 9b90a1c8c9195 |
| 14 | 40d5437175116 |
| 15 | 1b9e9469cd31c |
| hex | d1c5595f3400 |
230645538173952 has 1408 divisors, whose sum is σ = 782986814668800. Its totient is φ = 67006291968000.
The previous prime is 230645538173917. The next prime is 230645538173971. The reversal of 230645538173952 is 259371835546032.
230645538173952 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 4 + 5 + 538 + 1 + 7 + 3 + 95 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (1408).
It is a super-2 number, since 2×2306455381739522 (a number of 30 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 230645538173952.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89017960177 + ... + 89017962767.
It is a 1-persistent number, because it is pandigital, but 2⋅230645538173952 = 461291076347904 is not.
Almost surely, 2230645538173952 is an apocalyptic number.
230645538173952 is a gapful number since it is divisible by the number (22) 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 230645538173952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391493407334400).
230645538173952 is an abundant number, since it is smaller than the sum of its proper divisors (552341276494848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230645538173952 is a wasteful number, since it uses less digits than its factorization.
230645538173952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2753 (or 2707 counting only the distinct ones).
The product of its (nonzero) digits is 163296000, while the sum is 63.
The spelling of 230645538173952 in words is "two hundred thirty trillion, six hundred forty-five billion, five hundred thirty-eight million, one hundred seventy-three thousand, nine hundred fifty-two".
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