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9648382680 = 2332526801063
BaseRepresentation
bin10001111110001011…
…01010001011011000
3220220102010121211200
420333011222023120
5124224441221210
64233222154200
7461044620366
oct107705521330
926812117750
109648382680
114101295792
121a53282960
13ba9bb90a1
14677594636
153b70a50c0
hex23f16a2d8

9648382680 has 48 divisors (see below), whose sum is σ = 31357244880. Its totient is φ = 2572901952.

The previous prime is 9648382673. The next prime is 9648382697. The reversal of 9648382680 is 862838469.

9648382680 is a `hidden beast` number, since 9 + 6 + 483 + 82 + 6 + 80 = 666.

9648382680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13400172 + ... + 13400891.

It is an arithmetic number, because the mean of its divisors is an integer number (653275935).

Almost surely, 29648382680 is an apocalyptic number.

9648382680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9648382680 is an abundant number, since it is smaller than the sum of its proper divisors (21708862200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9648382680 is a wasteful number, since it uses less digits than its factorization.

9648382680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26801080 (or 26801073 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 9648382680 is about 98226.1812349437. The cubic root of 9648382680 is about 2128.8815923177.

The spelling of 9648382680 in words is "nine billion, six hundred forty-eight million, three hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 26801063 53602126 80403189 107204252 134005315 160806378 214408504 241209567 268010630 321612756 402015945 482419134 536021260 643225512 804031890 964838268 1072042520 1206047835 1608063780 1929676536 2412095670 3216127560 4824191340 9648382680