Base | Representation |
---|---|
bin | 100001111010000111111… |
… | …100011111011010000000 |
3 | 22020202112101001211021022 |
4 | 201322013330133122000 |
5 | 301134123140241442 |
6 | 4542242454445012 |
7 | 330230236114325 |
oct | 41720774373200 |
9 | 8222471054238 |
10 | 2330153055872 |
11 | 819237720274 |
12 | 317723663768 |
13 | 13b96a386b75 |
14 | 80acc4bcb4c |
15 | 4092c94a3d2 |
hex | 21e87f1f680 |
2330153055872 has 64 divisors (see below), whose sum is σ = 4919021463240. Its totient is φ = 1095682621440.
The previous prime is 2330153055859. The next prime is 2330153055877. The reversal of 2330153055872 is 2785503510332.
2330153055872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 2326064220736 + 4088835136 = 1525144^2 + 63944^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×23301530558722 (a number of 26 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (2330153055877) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2359472 + ... + 3198032.
Almost surely, 22330153055872 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 2330153055872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459510731620).
2330153055872 is an abundant number, since it is smaller than the sum of its proper divisors (2588868407368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2330153055872 is a wasteful number, since it uses less digits than its factorization.
2330153055872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 839869 (or 839857 counting only the distinct ones).
The product of its (nonzero) digits is 756000, while the sum is 44.
The spelling of 2330153055872 in words is "two trillion, three hundred thirty billion, one hundred fifty-three million, fifty-five thousand, eight hundred seventy-two".
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