Base | Representation |
---|---|
bin | 1000111111011111… |
… | …1101111110111000 |
3 | 20020020000102212222 |
4 | 2033313331332320 |
5 | 14420414014223 |
6 | 1035304223212 |
7 | 113550035456 |
oct | 21767757670 |
9 | 6206012788 |
10 | 2413813688 |
11 | 1029597a50 |
12 | 57446ab08 |
13 | 2c6114330 |
14 | 18c8179d6 |
15 | e1da40c8 |
hex | 8fdfdfb8 |
2413813688 has 64 divisors (see below), whose sum is σ = 5345464320. Its totient is φ = 1007395200.
The previous prime is 2413813687. The next prime is 2413813709. The reversal of 2413813688 is 8863183142.
Together with 2931650631 it forms a betrothed pair.
It is a super-2 number, since 2×24138136882 = 11652993040752322688, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (44).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2413813681) 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 15 ways as a sum of consecutive naturals, for example, 212981 + ... + 224027.
It is an arithmetic number, because the mean of its divisors is an integer number (83522880).
Almost surely, 22413813688 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 2413813688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672732160).
2413813688 is an abundant number, since it is smaller than the sum of its proper divisors (2931650632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2413813688 is a wasteful number, since it uses less digits than its factorization.
2413813688 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11268 (or 11264 counting only the distinct ones).
The product of its digits is 221184, while the sum is 44.
The square root of 2413813688 is about 49130.5779326887. The cubic root of 2413813688 is about 1341.4296926029.
The spelling of 2413813688 in words is "two billion, four hundred thirteen million, eight hundred thirteen thousand, six hundred eighty-eight".
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