Base | Representation |
---|---|
bin | 100010011101000100110… |
… | …010010100111111100000 |
3 | 22101100101202120010111121 |
4 | 202131010302110333200 |
5 | 302243002320231333 |
6 | 5011410405222024 |
7 | 333026225433121 |
oct | 42350462247740 |
9 | 8340352503447 |
10 | 2367681023968 |
11 | 833145238137 |
12 | 322a57701914 |
13 | 14236b250150 |
14 | 8284c63a048 |
15 | 418c73cd32d |
hex | 22744c94fe0 |
2367681023968 has 96 divisors (see below), whose sum is σ = 5239010230272. Its totient is φ = 1045101657600.
The previous prime is 2367681023893. The next prime is 2367681023969. The reversal of 2367681023968 is 8693201867632.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2367681023969) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 78356383 + ... + 78386593.
It is an arithmetic number, because the mean of its divisors is an integer number (54573023232).
Almost surely, 22367681023968 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2367681023968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619505115136).
2367681023968 is an abundant number, since it is smaller than the sum of its proper divisors (2871329206304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2367681023968 is a wasteful number, since it uses less digits than its factorization.
2367681023968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 38448 (or 38440 counting only the distinct ones).
The product of its (nonzero) digits is 31352832, while the sum is 61.
The spelling of 2367681023968 in words is "two trillion, three hundred sixty-seven billion, six hundred eighty-one million, twenty-three thousand, nine hundred sixty-eight".
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