Base | Representation |
---|---|
bin | 1101011111000111110… |
… | …1100001000100010000 |
3 | 211011001001200202110000 |
4 | 3113301331201010100 |
5 | 12244001312430333 |
6 | 254234350410000 |
7 | 22511363321010 |
oct | 3276175410420 |
9 | 734031622400 |
10 | 231692701968 |
11 | 8a295543282 |
12 | 38aa1500900 |
13 | 18b052a6a70 |
14 | b2dd271c40 |
15 | 60609ae713 |
hex | 35f1f61110 |
231692701968 has 800 divisors, whose sum is σ = 860389376000. Its totient is φ = 58551413760.
The previous prime is 231692701967. The next prime is 231692702009. The reversal of 231692701968 is 869107296132.
231692701968 is a `hidden beast` number, since 23 + 169 + 270 + 196 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (231692701967) by changing a digit.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 464313783 + ... + 464314281.
It is an arithmetic number, because the mean of its divisors is an integer number (1075486720).
Almost surely, 2231692701968 is an apocalyptic number.
231692701968 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 231692701968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430194688000).
231692701968 is an abundant number, since it is smaller than the sum of its proper divisors (628696674032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
231692701968 is a wasteful number, since it uses less digits than its factorization.
231692701968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 697 (or 682 counting only the distinct ones).
The product of its (nonzero) digits is 1959552, while the sum is 54.
The spelling of 231692701968 in words is "two hundred thirty-one billion, six hundred ninety-two million, seven hundred one thousand, nine hundred sixty-eight".
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