Base | Representation |
---|---|
bin | 1101011111010110010… |
… | …1100001001000100000 |
3 | 211011012022010121121200 |
4 | 3113311211201020200 |
5 | 12244112400112043 |
6 | 254244402121200 |
7 | 22513032262020 |
oct | 3276545411040 |
9 | 734168117550 |
10 | 231753519648 |
11 | 8a316902522 |
12 | 38ab9950200 |
13 | 18b14a7bc61 |
14 | b307383a80 |
15 | 6065ec47d3 |
hex | 35f5961220 |
231753519648 has 288 divisors, whose sum is σ = 773099623296. Its totient is φ = 64475357184.
The previous prime is 231753519631. The next prime is 231753519661. The reversal of 231753519648 is 846915357132.
It is a happy number.
231753519648 is a `hidden beast` number, since 2 + 3 + 17 + 53 + 519 + 64 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 231753519594 and 231753519603.
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 47 ways as a sum of consecutive naturals, for example, 29209890 + ... + 29217822.
It is an arithmetic number, because the mean of its divisors is an integer number (2684373692).
Almost surely, 2231753519648 is an apocalyptic number.
231753519648 is a gapful number since it is divisible by the number (28) 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 231753519648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386549811648).
231753519648 is an abundant number, since it is smaller than the sum of its proper divisors (541346103648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
231753519648 is a wasteful number, since it uses less digits than its factorization.
231753519648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8336 (or 8325 counting only the distinct ones).
The product of its digits is 5443200, while the sum is 54.
The spelling of 231753519648 in words is "two hundred thirty-one billion, seven hundred fifty-three million, five hundred nineteen thousand, six hundred forty-eight".
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