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9378680668 = 22719151313373
BaseRepresentation
bin10001011110000001…
…10100111101011100
3220012121122100020021
420233000310331130
5123201420240133
64150345401524
7451261320220
oct105700647534
926177570207
109378680668
113a83025665
121998a992a4
13b66068ab6
1464d82a780
1539d57d52d
hex22f034f5c

9378680668 has 96 divisors (see below), whose sum is σ = 19992304640. Its totient is φ = 3760473600.

The previous prime is 9378680653. The next prime is 9378680693. The reversal of 9378680668 is 8660868739.

9378680668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 25143730 + ... + 25144102.

Almost surely, 29378680668 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 9378680668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9996152320).

9378680668 is an abundant number, since it is smaller than the sum of its proper divisors (10613623972).

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

9378680668 is a wasteful number, since it uses less digits than its factorization.

9378680668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 61.

The square root of 9378680668 is about 96843.5886778263. The cubic root of 9378680668 is about 2108.8575734271.

The spelling of 9378680668 in words is "nine billion, three hundred seventy-eight million, six hundred eighty thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 19 28 38 76 133 151 266 302 313 373 532 604 626 746 1057 1252 1492 2114 2191 2611 2869 4228 4382 5222 5738 5947 7087 8764 10444 11476 11894 14174 20083 23788 28348 40166 41629 47263 49609 56323 80332 83258 94526 99218 112646 116749 166516 189052 198436 225292 233498 330841 394261 466996 661682 788522 817243 897997 1070137 1323364 1577044 1634486 1795994 2140274 2218231 3268972 3591988 4280548 4436462 6285979 7490959 8872924 12571958 14981918 15527617 17629099 25143916 29963836 31055234 35258198 62110468 70516396 123403693 246807386 334952881 493614772 669905762 1339811524 2344670167 4689340334 9378680668