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9686928096 = 2532131256757
BaseRepresentation
bin10010000010110001…
…01100101011100000
3221000002122221012200
421001120230223200
5124314323144341
64241120253200
7462023346606
oct110130545340
927002587180
109686928096
1141210224aa
121a64171200
13bb4b93821
1467c749876
153ba66adb6
hex24162cae0

9686928096 has 72 divisors (see below), whose sum is σ = 27757593864. Its totient is φ = 3204314880.

The previous prime is 9686928067. The next prime is 9686928107. The reversal of 9686928096 is 6908296869.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90651 + ... + 166106.

It is an arithmetic number, because the mean of its divisors is an integer number (385522137).

Almost surely, 29686928096 is an apocalyptic number.

9686928096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9686928096 is an abundant number, since it is smaller than the sum of its proper divisors (18070665768).

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

9686928096 is a wasteful number, since it uses less digits than its factorization.

9686928096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256904 (or 256893 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The square root of 9686928096 is about 98422.1931070427. The cubic root of 9686928096 is about 2131.7127954356.

The spelling of 9686928096 in words is "nine billion, six hundred eighty-six million, nine hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 786 1048 1179 1572 2096 2358 3144 4192 4716 6288 9432 12576 18864 37728 256757 513514 770271 1027028 1540542 2054056 2310813 3081084 4108112 4621626 6162168 8216224 9243252 12324336 18486504 24648672 33635167 36973008 67270334 73946016 100905501 134540668 201811002 269081336 302716503 403622004 538162672 605433006 807244008 1076325344 1210866012 1614488016 2421732024 3228976032 4843464048 9686928096