Base | Representation |
---|---|
bin | 11101011100110101111… |
… | …000011110010100000000 |
3 | 21011110212102221211022000 |
4 | 131130311320132110000 |
5 | 231124302344434323 |
6 | 4145423013344000 |
7 | 266134324463136 |
oct | 35346570362400 |
9 | 7143772854260 |
10 | 2023833593088 |
11 | 71033733605a |
12 | 288295938000 |
13 | 118b01238988 |
14 | 6dd4dd6d756 |
15 | 379a059ce43 |
hex | 1d735e1e500 |
2023833593088 has 144 divisors (see below), whose sum is σ = 5994513201600. Its totient is φ = 673519933440.
The previous prime is 2023833593087. The next prime is 2023833593101. The reversal of 2023833593088 is 8803953383202.
2023833593088 is a `hidden beast` number, since 20 + 23 + 8 + 3 + 3 + 593 + 0 + 8 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×20238335930882 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2023833593081) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4042018 + ... + 4515038.
It is an arithmetic number, because the mean of its divisors is an integer number (41628563900).
Almost surely, 22023833593088 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 2023833593088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997256600800).
2023833593088 is an abundant number, since it is smaller than the sum of its proper divisors (3970679608512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2023833593088 is an equidigital number, since it uses as much as digits as its factorization.
2023833593088 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 473665 (or 473645 counting only the distinct ones).
The product of its (nonzero) digits is 7464960, while the sum is 54.
The spelling of 2023833593088 in words is "two trillion, twenty-three billion, eight hundred thirty-three million, five hundred ninety-three thousand, eighty-eight".
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