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9486006849 = 331161523597
BaseRepresentation
bin10001101010110100…
…01111101001000001
3220111002121002002000
420311122033221001
5123411404204344
64205142014213
7454033504434
oct106532175101
926432532060
109486006849
114028670390
121a08a17369
13b82376107
1465dba781b
153a7bcda69
hex23568fa41

9486006849 has 32 divisors (see below), whose sum is σ = 15582276480. Its totient is φ = 5654836800.

The previous prime is 9486006847. The next prime is 9486006853.

9486006849 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9486006849 - 21 = 9486006847 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9486006795 and 9486006804.

It is not an unprimeable number, because it can be changed into a prime (9486006847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243682 + ... + 279915.

It is an arithmetic number, because the mean of its divisors is an integer number (486946140).

Almost surely, 29486006849 is an apocalyptic number.

9486006849 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

9486006849 is a deficient number, since it is larger than the sum of its proper divisors (6096269631).

9486006849 is a wasteful number, since it uses less digits than its factorization.

9486006849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523678 (or 523672 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 9486006849 is about 97396.1336450272. The cubic root of 9486006849 is about 2116.8714123916.

The spelling of 9486006849 in words is "nine billion, four hundred eighty-six million, six thousand, eight hundred forty-nine".

Divisors: 1 3 9 11 27 33 61 99 183 297 549 671 1647 2013 6039 18117 523597 1570791 4712373 5759567 14137119 17278701 31939417 51836103 95818251 155508309 287454753 351333587 862364259 1054000761 3162002283 9486006849