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6768652044 = 22372115917737
BaseRepresentation
bin1100100110111000…
…10110111100001100
3122110201102011001110
412103130112330030
5102330233331134
63035351412020
7326506410300
oct62334267414
918421364043
106768652044
112963800510
12138a984010
1383b3c426b
14482d37d00
1529936b7e9
hex193716f0c

6768652044 has 144 divisors (see below), whose sum is σ = 20383090560. Its totient is φ = 1728195840.

The previous prime is 6768652039. The next prime is 6768652061. The reversal of 6768652044 is 4402568676.

It is a junction number, because it is equal to n+sod(n) for n = 6768651984 and 6768652002.

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 47 ways as a sum of consecutive naturals, for example, 372744 + ... + 390480.

It is an arithmetic number, because the mean of its divisors is an integer number (141549240).

Almost surely, 26768652044 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 6768652044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10191545280).

6768652044 is an abundant number, since it is smaller than the sum of its proper divisors (13614438516).

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

6768652044 is a wasteful number, since it uses less digits than its factorization.

6768652044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17828 (or 17819 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The square root of 6768652044 is about 82271.8180423892. The cubic root of 6768652044 is about 1891.6207222757.

The spelling of 6768652044 in words is "six billion, seven hundred sixty-eight million, six hundred fifty-two thousand, forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 59 66 77 84 98 118 132 147 154 177 196 231 236 294 308 354 413 462 539 588 649 708 826 924 1078 1239 1298 1617 1652 1947 2156 2478 2596 2891 3234 3894 4543 4956 5782 6468 7788 8673 9086 11564 13629 17346 17737 18172 27258 31801 34692 35474 53211 54516 63602 70948 95403 106422 124159 127204 190806 195107 212844 248318 372477 381612 390214 496636 585321 744954 780428 869113 1046483 1170642 1365749 1489908 1738226 2092966 2341284 2607339 2731498 3139449 3476452 4097247 4185932 5214678 5462996 6278898 7325381 8194494 9560243 10429356 11511313 12557796 14650762 16388988 19120486 21976143 23022626 28680729 29301524 34533939 38240972 43952286 46045252 51277667 57361458 69067878 80579191 87904572 102555334 114722916 138135756 153833001 161158382 205110668 241737573 307666002 322316764 483475146 564054337 615332004 966950292 1128108674 1692163011 2256217348 3384326022 6768652044