Base | Representation |
---|---|
bin | 11110111001010101011… |
… | …001001000010000100000 |
3 | 21111222012201200222011200 |
4 | 132321111121020100200 |
5 | 234241201000320013 |
6 | 4303205433441200 |
7 | 306251356304220 |
oct | 36712531102040 |
9 | 7458181628150 |
10 | 2123146495008 |
11 | 74946a934200 |
12 | 2a3591570200 |
13 | 12529a5a56b6 |
14 | 74a91a54080 |
15 | 3a364312e73 |
hex | 1ee55648420 |
2123146495008 has 432 divisors, whose sum is σ = 7592752177920. Its totient is φ = 550870087680.
The previous prime is 2123146494961. The next prime is 2123146495009. The reversal of 2123146495008 is 8005946413212.
2123146495008 is a `hidden beast` number, since 2 + 12 + 3 + 146 + 495 + 0 + 0 + 8 = 666.
It is not an unprimeable number, because it can be changed into a prime (2123146495009) by changing a digit.
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 71 ways as a sum of consecutive naturals, for example, 253445316 + ... + 253453692.
Almost surely, 22123146495008 is an apocalyptic number.
2123146495008 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 2123146495008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796376088960).
2123146495008 is an abundant number, since it is smaller than the sum of its proper divisors (5469605682912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2123146495008 is a wasteful number, since it uses less digits than its factorization.
2123146495008 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9461 (or 9439 counting only the distinct ones).
The product of its (nonzero) digits is 414720, while the sum is 45.
The spelling of 2123146495008 in words is "two trillion, one hundred twenty-three billion, one hundred forty-six million, four hundred ninety-five thousand, eight".
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