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6776052768 = 2532295913751
BaseRepresentation
bin1100100111110001…
…00101110000100000
3122111020100010221100
412103320211300200
5102334132142033
63040214154400
7326626332612
oct62370456040
918436303840
106776052768
1129679a5811
121391352a00
1383cab59a4
14483d02db2
15299d2e513
hex193e25c20

6776052768 has 144 divisors (see below), whose sum is σ = 20273198400. Its totient is φ = 2143680000.

The previous prime is 6776052727. The next prime is 6776052791. The reversal of 6776052768 is 8672506776.

6776052768 is a `hidden beast` number, since 6 + 7 + 7 + 605 + 27 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×67760527683 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485893 + ... + 499643.

It is an arithmetic number, because the mean of its divisors is an integer number (140786100).

Almost surely, 26776052768 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 6776052768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10136599200).

6776052768 is an abundant number, since it is smaller than the sum of its proper divisors (13497145632).

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

6776052768 is a wasteful number, since it uses less digits than its factorization.

6776052768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13855 (or 13844 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The square root of 6776052768 is about 82316.7830275212. The cubic root of 6776052768 is about 1892.3098926682.

The spelling of 6776052768 in words is "six billion, seven hundred seventy-six million, fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 59 72 87 96 116 118 144 174 177 232 236 261 288 348 354 464 472 522 531 696 708 928 944 1044 1062 1392 1416 1711 1888 2088 2124 2784 2832 3422 4176 4248 5133 5664 6844 8352 8496 10266 13688 13751 15399 16992 20532 27376 27502 30798 41064 41253 54752 55004 61596 82128 82506 110008 123192 123759 164256 165012 220016 246384 247518 330024 398779 440032 492768 495036 660048 797558 811309 990072 1196337 1320096 1595116 1622618 1980144 2392674 2433927 3190232 3245236 3589011 3960288 4785348 4867854 6380464 6490472 7178022 7301781 9570696 9735708 12760928 12980944 14356044 14603562 19141392 19471416 23527961 25961888 28712088 29207124 38282784 38942832 47055922 57424176 58414248 70583883 77885664 94111844 114848352 116828496 141167766 188223688 211751649 233656992 282335532 376447376 423503298 564671064 752894752 847006596 1129342128 1694013192 2258684256 3388026384 6776052768