| Base | Representation |
|---|---|
| bin | 110100101100101010011011… |
| … | …001011001101000000000000 |
| 3 | 1010101121202202112110002220000 |
| 4 | 310230222123023031000000 |
| 5 | 220334240100412211224 |
| 6 | 2140532325000520000 |
| 7 | 66550441616333100 |
| oct | 6454523313150000 |
| 9 | 1111552675402800 |
| 10 | 231767628632064 |
| 11 | 67937110214148 |
| 12 | 21bb2151a80000 |
| 13 | 9c427941a8a35 |
| 14 | 4133882409200 |
| 15 | 1bbdc1b9ca0c9 |
| hex | d2ca9b2cd000 |
231767628632064 has 1560 divisors, whose sum is σ = 821015261557920. Its totient is φ = 64944339812352.
The previous prime is 231767628632021. The next prime is 231767628632083. The reversal of 231767628632064 is 460236826767132.
231767628632064 is a `hidden beast` number, since 2 + 3 + 176 + 7 + 6 + 2 + 86 + 320 + 64 = 666.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a junction number, because it is equal to n+sod(n) for n = 231767628631992 and 231767628632010.
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 119 ways as a sum of consecutive naturals, for example, 423706816239 + ... + 423706816785.
It is an arithmetic number, because the mean of its divisors is an integer number (526291834332).
Almost surely, 2231767628632064 is an apocalyptic number.
231767628632064 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 231767628632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410507630778960).
231767628632064 is an abundant number, since it is smaller than the sum of its proper divisors (589247632925856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
231767628632064 is an equidigital number, since it uses as much as digits as its factorization.
231767628632064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1053 (or 1015 counting only the distinct ones).
The product of its (nonzero) digits is 146313216, while the sum is 63.
The spelling of 231767628632064 in words is "two hundred thirty-one trillion, seven hundred sixty-seven billion, six hundred twenty-eight million, six hundred thirty-two thousand, sixty-four".
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