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10068669576 = 233378380231
BaseRepresentation
bin10010110000010001…
…11011010010001000
3221222200222102002000
421120020323102020
5131110034411301
64343034311000
7504340164540
oct113010732210
927880872060
1010068669576
1142a7557529
121b4bb88460
13c45cb1564
146b731a320
153dde24786
hex25823b488

10068669576 has 128 divisors (see below), whose sum is σ = 32349542400. Its totient is φ = 2842067520.

The previous prime is 10068669571. The next prime is 10068669599. The reversal of 10068669576 is 67596686001.

10068669576 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 8 + 6 + 69 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10068669571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85381 + ... + 165611.

It is an arithmetic number, because the mean of its divisors is an integer number (252730800).

Almost surely, 210068669576 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 10068669576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174771200).

10068669576 is an abundant number, since it is smaller than the sum of its proper divisors (22280872824).

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

10068669576 is a wasteful number, since it uses less digits than its factorization.

10068669576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80336 (or 80326 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 10068669576 in words is "ten billion, sixty-eight million, six hundred sixty-nine thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 83 84 108 126 166 168 189 216 249 252 332 378 498 504 581 664 747 756 996 1162 1494 1512 1743 1992 2241 2324 2988 3486 4482 4648 5229 5976 6972 8964 10458 13944 15687 17928 20916 31374 41832 62748 80231 125496 160462 240693 320924 481386 561617 641848 722079 962772 1123234 1444158 1684851 1925544 2166237 2246468 2888316 3369702 4332474 4492936 5054553 5776632 6659173 6739404 8664948 10109106 13318346 13478808 15163659 17329896 19977519 20218212 26636692 30327318 39955038 40436424 46614211 53273384 59932557 60654636 79910076 93228422 119865114 121309272 139842633 159820152 179797671 186456844 239730228 279685266 359595342 372913688 419527899 479460456 559370532 719190684 839055798 1118741064 1258583697 1438381368 1678111596 2517167394 3356223192 5034334788 10068669576