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6771733980 = 22351112780789
BaseRepresentation
bin1100100111010000…
…00111010111011100
3122110221012201200020
412103220013113130
5102332030441410
63035541432140
7326544534444
oct62350072734
918427181606
106771733980
112965515a70
12138ba0b650
1383bc32cab
144834db124
15299779a70
hex193a075dc

6771733980 has 96 divisors (see below), whose sum is σ = 20847697920. Its totient is φ = 1628686080.

The previous prime is 6771733951. The next prime is 6771734003. The reversal of 6771733980 is 893371776.

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 31 ways as a sum of consecutive naturals, for example, 43426 + ... + 124214.

It is an arithmetic number, because the mean of its divisors is an integer number (217163520).

Almost surely, 26771733980 is an apocalyptic number.

6771733980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6771733980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10423848960).

6771733980 is an abundant number, since it is smaller than the sum of its proper divisors (14075963940).

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

6771733980 is a wasteful number, since it uses less digits than its factorization.

6771733980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80939 (or 80937 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 51.

The square root of 6771733980 is about 82290.5461155776. The cubic root of 6771733980 is about 1891.9077794013.

The spelling of 6771733980 in words is "six billion, seven hundred seventy-one million, seven hundred thirty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 127 132 165 220 254 330 381 508 635 660 762 1270 1397 1524 1905 2540 2794 3810 4191 5588 6985 7620 8382 13970 16764 20955 27940 41910 80789 83820 161578 242367 323156 403945 484734 807890 888679 969468 1211835 1615780 1777358 2423670 2666037 3554716 4443395 4847340 5332074 8886790 10260203 10664148 13330185 17773580 20520406 26660370 30780609 41040812 51301015 53320740 61561218 102602030 112862233 123122436 153903045 205204060 225724466 307806090 338586699 451448932 564311165 615612180 677173398 1128622330 1354346796 1692933495 2257244660 3385866990 6771733980