Base | Representation |
---|---|
bin | 100001100101000000110… |
… | …111101110000110100000 |
3 | 22011121000122121020100002 |
4 | 201211000313232012200 |
5 | 300301212330132103 |
6 | 4524013324315132 |
7 | 325465435365056 |
oct | 41450067560640 |
9 | 8147018536302 |
10 | 2307485786528 |
11 | 80a66563031a |
12 | 3132583a2aa8 |
13 | 139797215660 |
14 | 7d97bc841d6 |
15 | 40052962488 |
hex | 21940dee1a0 |
2307485786528 has 96 divisors (see below), whose sum is σ = 4965830931600. Its totient is φ = 1049027936256.
The previous prime is 2307485786521. The next prime is 2307485786537. The reversal of 2307485786528 is 8256875847032.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 152309111824 + 2155176674704 = 390268^2 + 1468052^2 .
It is not an unprimeable number, because it can be changed into a prime (2307485786521) 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 15 ways as a sum of consecutive naturals, for example, 23303588 + ... + 23402396.
Almost surely, 22307485786528 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 2307485786528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482915465800).
2307485786528 is an abundant number, since it is smaller than the sum of its proper divisors (2658345145072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2307485786528 is a wasteful number, since it uses less digits than its factorization.
2307485786528 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 99674 (or 99666 counting only the distinct ones).
The product of its (nonzero) digits is 180633600, while the sum is 65.
The spelling of 2307485786528 in words is "two trillion, three hundred seven billion, four hundred eighty-five million, seven hundred eighty-six thousand, five hundred twenty-eight".
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