Search a number
-
+
6678317568 = 2931331979
BaseRepresentation
bin1100011100000111…
…10000101000000000
3122020102102200110010
412032003300220000
5102134122130233
63022403304520
7324331522416
oct61603605000
918212380403
106678317568
11291781091a
12136467b140
13825786000
14474d412b6
15291475b63
hex18e0f0a00

6678317568 has 160 divisors (see below), whose sum is σ = 19283140800. Its totient is φ = 2053828608.

The previous prime is 6678317551. The next prime is 6678317599. The reversal of 6678317568 is 8657138766.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3373603 + ... + 3375581.

It is an arithmetic number, because the mean of its divisors is an integer number (120519630).

Almost surely, 26678317568 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 6678317568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9641570400).

6678317568 is an abundant number, since it is smaller than the sum of its proper divisors (12604823232).

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

6678317568 is an equidigital number, since it uses as much as digits as its factorization.

6678317568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 1997 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 57.

The square root of 6678317568 is about 81720.9738561650. The cubic root of 6678317568 is about 1883.1678114762.

The spelling of 6678317568 in words is "six billion, six hundred seventy-eight million, three hundred seventeen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 512 624 676 768 832 1014 1248 1352 1536 1664 1979 2028 2197 2496 2704 3328 3958 4056 4394 4992 5408 5937 6591 6656 7916 8112 8788 9984 10816 11874 13182 15832 16224 17576 19968 21632 23748 25727 26364 31664 32448 35152 43264 47496 51454 52728 63328 64896 70304 77181 86528 94992 102908 105456 126656 129792 140608 154362 189984 205816 210912 253312 259584 281216 308724 334451 379968 411632 421824 506624 562432 617448 668902 759936 823264 843648 1003353 1013248 1124864 1234896 1337804 1519872 1646528 1687296 2006706 2469792 2675608 3039744 3293056 3374592 4013412 4347863 4939584 5351216 6586112 8026824 8695726 9879168 10702432 13043589 13172224 16053648 17391452 19758336 21404864 26087178 32107296 34782904 39516672 42809728 52174356 64214592 69565808 85619456 104348712 128429184 139131616 171238912 208697424 256858368 278263232 417394848 513716736 556526464 834789696 1113052928 1669579392 2226105856 3339158784 6678317568