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6681007116 = 2233728811433
BaseRepresentation
bin1100011100011100…
…00001010000001100
3122020121111022211000
412032032001100030
5102140314211431
63022541100300
7324363423600
oct61616012014
918217438730
106681007116
112919288593
121365557690
138261b8264
14475441500
152918079e6
hex18e38140c

6681007116 has 144 divisors (see below), whose sum is σ = 20186016480. Its totient is φ = 1905361920.

The previous prime is 6681007027. The next prime is 6681007171. The reversal of 6681007116 is 6117001866.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4661536 + ... + 4662968.

It is an arithmetic number, because the mean of its divisors is an integer number (140180670).

Almost surely, 26681007116 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 6681007116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10093008240).

6681007116 is an abundant number, since it is smaller than the sum of its proper divisors (13505009364).

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

6681007116 is a wasteful number, since it uses less digits than its factorization.

6681007116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 6681007116 is about 81737.4278773195. The cubic root of 6681007116 is about 1883.4205792529.

The spelling of 6681007116 in words is "six billion, six hundred eighty-one million, seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 881 882 1323 1433 1762 1764 2643 2646 2866 3524 4299 5286 5292 5732 6167 7929 8598 10031 10572 12334 12897 15858 17196 18501 20062 23787 24668 25794 30093 31716 37002 38691 40124 43169 47574 51588 55503 60186 70217 74004 77382 86338 90279 95148 111006 120372 129507 140434 154764 166509 172676 180558 210651 222012 259014 270837 280868 333018 361116 388521 421302 518028 541674 631953 666036 777042 842604 1083348 1165563 1262473 1263906 1554084 1895859 2331126 2524946 2527812 3787419 3791718 4662252 5049892 7574838 7583436 8837311 11362257 15149676 17674622 22724514 26511933 34086771 35349244 45449028 53023866 61861177 68173542 79535799 106047732 123722354 136347084 159071598 185583531 238607397 247444708 318143196 371167062 477214794 556750593 742334124 954429588 1113501186 1670251779 2227002372 3340503558 6681007116