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6681187760 = 245137388003
BaseRepresentation
bin1100011100011101…
…01101010110110000
3122020121211111121112
412032032231112300
5102140341002020
63022545012452
7324365105342
oct61616552660
918217744545
106681187760
1129193a1285
121365624128
1382624c550
1447548b292
152918412c5
hex18e3ad5b0

6681187760 has 80 divisors (see below), whose sum is σ = 16958018784. Its totient is φ = 2433079296.

The previous prime is 6681187741. The next prime is 6681187787. The reversal of 6681187760 is 677811866.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 6681187699 and 6681187708.

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 15 ways as a sum of consecutive naturals, for example, 31919 + ... + 119921.

Almost surely, 26681187760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6681187760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8479009392).

6681187760 is an abundant number, since it is smaller than the sum of its proper divisors (10276831024).

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

6681187760 is a wasteful number, since it uses less digits than its factorization.

6681187760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88102 (or 88096 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 50.

The square root of 6681187760 is about 81738.5328960583. The cubic root of 6681187760 is about 1883.4375540170.

The spelling of 6681187760 in words is "six billion, six hundred eighty-one million, one hundred eighty-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 73 80 104 130 146 208 260 292 365 520 584 730 949 1040 1168 1460 1898 2920 3796 4745 5840 7592 9490 15184 18980 37960 75920 88003 176006 352012 440015 704024 880030 1144039 1408048 1760060 2288078 3520120 4576156 5720195 6424219 7040240 9152312 11440390 12848438 18304624 22880780 25696876 32121095 45761560 51393752 64242190 83514847 91523120 102787504 128484380 167029694 256968760 334059388 417574235 513937520 668118776 835148470 1336237552 1670296940 3340593880 6681187760