| Base | Representation |
|---|---|
| bin | 1101011111001000111… |
| … | …1100000000011000000 |
| 3 | 211011001101120021102000 |
| 4 | 3113302033200003000 |
| 5 | 12244004014311014 |
| 6 | 254235035424000 |
| 7 | 22511451354450 |
| oct | 3276217400300 |
| 9 | 734041507360 |
| 10 | 231697416384 |
| 11 | 8a298173295 |
| 12 | 38aa2bb5000 |
| 13 | 18b06267865 |
| 14 | b2ddb3bd60 |
| 15 | 60610e1509 |
| hex | 35f23e00c0 |
231697416384 has 224 divisors, whose sum is σ = 779566233600. Its totient is φ = 66104709120.
The previous prime is 231697416367. The next prime is 231697416409. The reversal of 231697416384 is 483614796132.
231697416384 is a `hidden beast` number, since 2 + 316 + 97 + 4 + 163 + 84 = 666.
It is a tau number, because it is divible by the number of its divisors (224).
It is a super-3 number, since 3×2316974163843 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 231697416384.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8683704 + ... + 8710344.
It is an arithmetic number, because the mean of its divisors is an integer number (3480206400).
Almost surely, 2231697416384 is an apocalyptic number.
231697416384 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 231697416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389783116800).
231697416384 is an abundant number, since it is smaller than the sum of its proper divisors (547868817216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
231697416384 is a wasteful number, since it uses less digits than its factorization.
231697416384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 27388 (or 27372 counting only the distinct ones).
The product of its digits is 5225472, while the sum is 54.
The spelling of 231697416384 in words is "two hundred thirty-one billion, six hundred ninety-seven million, four hundred sixteen thousand, three hundred eighty-four".
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