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68729766792786 = 232111971762030631
BaseRepresentation
bin11111010000010011001010…
…10101011100111001010010
3100000100111112121202001210100
433220021211111130321102
533002032030244332121
6402102004033313230
720322363456355641
oct1750114525347122
9300314477661710
1068729766792786
111a999148633a30
127860357a05816
132c4725c891628
1412d877777b358
157e2c43ed1026
hex3e826555ce52

68729766792786 has 48 divisors (see below), whose sum is σ = 163276806483648. Its totient is φ = 20721480208800.

The previous prime is 68729766792781. The next prime is 68729766792803.

It is a happy number.

68729766792786 is a `hidden beast` number, since 68 + 72 + 97 + 66 + 79 + 278 + 6 = 666.

68729766792786 is nontrivially palindromic in base 10.

68729766792786 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 68729766792696 and 68729766792705.

It is not an unprimeable number, because it can be changed into a prime (68729766792781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 880976310 + ... + 881054321.

It is an arithmetic number, because the mean of its divisors is an integer number (3401600135076).

Almost surely, 268729766792786 is an apocalyptic number.

68729766792786 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

68729766792786 is an abundant number, since it is smaller than the sum of its proper divisors (94547039690862).

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

68729766792786 is a wasteful number, since it uses less digits than its factorization.

68729766792786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762030847 (or 1762030844 counting only the distinct ones).

The product of its digits is 64524128256, while the sum is 90.

The spelling of 68729766792786 in words is "sixty-eight trillion, seven hundred twenty-nine billion, seven hundred sixty-six million, seven hundred ninety-two thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 197 198 394 591 1182 1773 2167 3546 4334 6501 13002 19503 39006 1762030631 3524061262 5286091893 10572183786 15858275679 19382336941 31716551358 38764673882 58147010823 116294021646 174441032469 347120034307 348882064938 694240068614 1041360102921 2082720205842 3124080308763 3818320377377 6248160617526 7636640754754 11454961132131 22909922264262 34364883396393 68729766792786