Base | Representation |
---|---|
bin | 11110111001100010000… |
… | …111111101000000000000 |
3 | 21111222202121122001000000 |
4 | 132321202013331000000 |
5 | 234242120141040011 |
6 | 4303242544000000 |
7 | 306256562010330 |
oct | 36714207750000 |
9 | 7458677561000 |
10 | 2123360096256 |
11 | 74956a466a63 |
12 | 2a3631000000 |
13 | 125302912779 |
14 | 74ab21770c0 |
15 | 3a377e57356 |
hex | 1ee621fd000 |
2123360096256 has 1456 divisors, whose sum is σ = 7838323061760. Its totient is φ = 561842749440.
The previous prime is 2123360096251. The next prime is 2123360096257. The reversal of 2123360096256 is 6526900633212.
2123360096256 is a `hidden beast` number, since 2 + 1 + 2 + 33 + 600 + 9 + 6 + 2 + 5 + 6 = 666.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2123360096251) by changing a digit.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18790797256 + ... + 18790797368.
Almost surely, 22123360096256 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 2123360096256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919161530880).
2123360096256 is an abundant number, since it is smaller than the sum of its proper divisors (5714962965504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2123360096256 is an equidigital number, since it uses as much as digits as its factorization.
2123360096256 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 222 (or 185 counting only the distinct ones).
The product of its (nonzero) digits is 699840, while the sum is 45.
The spelling of 2123360096256 in words is "two trillion, one hundred twenty-three billion, three hundred sixty million, ninety-six thousand, two hundred fifty-six".
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