Base | Representation |
---|---|
bin | 100011011100011010111… |
… | …000011110010011111010 |
3 | 22121211221221111112001000 |
4 | 203130122320132103322 |
5 | 304401302022444131 |
6 | 5102535521505430 |
7 | 340654565611530 |
oct | 43343270362372 |
9 | 8554857445030 |
10 | 2435697468666 |
11 | 859a787a4800 |
12 | 33407a1a2276 |
13 | 1488ba75a527 |
14 | 85c61a38150 |
15 | 435587c8ce6 |
hex | 2371ae1e4fa |
2435697468666 has 768 divisors, whose sum is σ = 7711299993600. Its totient is φ = 554658192000.
The previous prime is 2435697468661. The next prime is 2435697468709. The reversal of 2435697468666 is 6668647965342.
It is a junction number, because it is equal to n+sod(n) for n = 2435697468594 and 2435697468603.
It is not an unprimeable number, because it can be changed into a prime (2435697468661) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 619610721 + ... + 619614651.
It is an arithmetic number, because the mean of its divisors is an integer number (10040755200).
Almost surely, 22435697468666 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2435697468666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855649996800).
2435697468666 is an abundant number, since it is smaller than the sum of its proper divisors (5275602524934).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2435697468666 is a wasteful number, since it uses less digits than its factorization.
2435697468666 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4044 (or 4027 counting only the distinct ones).
The product of its digits is 1881169920, while the sum is 72.
The spelling of 2435697468666 in words is "two trillion, four hundred thirty-five billion, six hundred ninety-seven million, four hundred sixty-eight thousand, six hundred sixty-six".
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