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8668129680 = 243357573289
BaseRepresentation
bin10000001001010100…
…10010100110010000
3211101002121121112000
420010222102212100
5120223020122210
63552044034000
7424542613050
oct100452224620
924332547460
108668129680
113748a2a141
12181ab32900
13a81aa4122
145c3307560
1535aec4ac0
hex204a92990

8668129680 has 160 divisors (see below), whose sum is σ = 34122220800. Its totient is φ = 1981283328.

The previous prime is 8668129637. The next prime is 8668129681. The reversal of 8668129680 is 869218668.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8668129681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 271525 + ... + 301764.

It is an arithmetic number, because the mean of its divisors is an integer number (213263880).

Almost surely, 28668129680 is an apocalyptic number.

8668129680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8668129680 is an abundant number, since it is smaller than the sum of its proper divisors (25454091120).

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

8668129680 is a wasteful number, since it uses less digits than its factorization.

8668129680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573318 (or 573306 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 8668129680 is about 93102.7909356105. The cubic root of 8668129680 is about 2054.1956253042.

The spelling of 8668129680 in words is "eight billion, six hundred sixty-eight million, one hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 573289 1146578 1719867 2293156 2866445 3439734 4013023 4586312 5159601 5732890 6879468 8026046 8599335 9172624 10319202 11465780 12039069 13758936 15478803 16052092 17198670 20065115 20638404 22931560 24078138 25798005 27517872 30957606 32104184 34397340 36117207 40130230 41276808 45863120 48156276 51596010 60195345 61915212 64208368 68794680 72234414 77394015 80260460 82553616 96312552 103192020 108351621 120390690 123830424 137589360 144468828 154788030 160520920 180586035 192625104 206384040 216703242 240781380 247660848 288937656 309576060 321041840 361172070 412768080 433406484 481562760 541758105 577875312 619152120 722344140 866812968 963125520 1083516210 1238304240 1444688280 1733625936 2167032420 2889376560 4334064840 8668129680