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9686832672 = 253119173137
BaseRepresentation
bin10010000010110000…
…10101011000100000
3221000002111002022110
421001120111120200
5124314312121142
64241114235320
7462022501446
oct110130253040
927002432273
109686832672
114120a67840
121a64125b40
13bb4b5c26a
1467c722b96
153ba64c99c
hex241615620

9686832672 has 48 divisors (see below), whose sum is σ = 27739569312. Its totient is φ = 2935403520.

The previous prime is 9686832653. The next prime is 9686832689. The reversal of 9686832672 is 2762386869.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4585513 + ... + 4587624.

It is an arithmetic number, because the mean of its divisors is an integer number (577907694).

Almost surely, 29686832672 is an apocalyptic number.

It is an amenable number.

9686832672 is an abundant number, since it is smaller than the sum of its proper divisors (18052736640).

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

9686832672 is a wasteful number, since it uses less digits than its factorization.

9686832672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9173161 (or 9173153 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The square root of 9686832672 is about 98421.7083371346. The cubic root of 9686832672 is about 2131.7057957198.

The spelling of 9686832672 in words is "nine billion, six hundred eighty-six million, eight hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 9173137 18346274 27519411 36692548 55038822 73385096 100904507 110077644 146770192 201809014 220155288 293540384 302713521 403618028 440310576 605427042 807236056 880621152 1210854084 1614472112 2421708168 3228944224 4843416336 9686832672