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9468008649 = 331131878817
BaseRepresentation
bin10001101000101011…
…00101100011001001
3220102211201200012000
420310111211203021
5123342302234044
64203300141213
7453424513521
oct106425454311
926384650160
109468008649
114019498040
121a02997809
13b7b713ba8
1465b640681
153a6325d69
hex2345658c9

9468008649 has 16 divisors (see below), whose sum is σ = 15301832640. Its totient is φ = 5738186880.

The previous prime is 9468008629. The next prime is 9468008659.

9468008649 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9468008649 - 28 = 9468008393 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9468008595 and 9468008604.

It is not an unprimeable number, because it can be changed into a prime (9468008629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15939112 + ... + 15939705.

It is an arithmetic number, because the mean of its divisors is an integer number (956364540).

Almost surely, 29468008649 is an apocalyptic number.

9468008649 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

9468008649 is a deficient number, since it is larger than the sum of its proper divisors (5833823991).

9468008649 is a wasteful number, since it uses less digits than its factorization.

9468008649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31878837 (or 31878831 counting only the distinct ones).

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

The square root of 9468008649 is about 97303.6928846999. The cubic root of 9468008649 is about 2115.5317550325.

The spelling of 9468008649 in words is "nine billion, four hundred sixty-eight million, eight thousand, six hundred forty-nine".

Divisors: 1 3 9 11 27 33 99 297 31878817 95636451 286909353 350666987 860728059 1052000961 3156002883 9468008649