Search a number
-
+
5680515131568 = 2432131739407483
BaseRepresentation
bin101001010101001100100…
…0101100010100010110000
3202010001101212101122120100
41102222121011202202300
51221032143333202233
620025332001312400
71124255313640104
oct122523105424260
922101355348510
105680515131568
1118a0102779102
12778b09035700
133228937a8b54
14158d1cd79904
159cb6adb4813
hex52a991628b0

5680515131568 has 120 divisors (see below), whose sum is σ = 16040623959360. Its totient is φ = 1876503507840.

The previous prime is 5680515131561. The next prime is 5680515131579. The reversal of 5680515131568 is 8651315150865.

5680515131568 is a `hidden beast` number, since 5 + 6 + 8 + 0 + 51 + 513 + 15 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (5680515131561) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13736755 + ... + 14144237.

It is an arithmetic number, because the mean of its divisors is an integer number (133671866328).

Almost surely, 25680515131568 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 5680515131568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8020311979680).

5680515131568 is an abundant number, since it is smaller than the sum of its proper divisors (10360108827792).

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

5680515131568 is a wasteful number, since it uses less digits than its factorization.

5680515131568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408367 (or 408358 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 54.

The spelling of 5680515131568 in words is "five trillion, six hundred eighty billion, five hundred fifteen million, one hundred thirty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 739 786 1048 1179 1478 1572 2096 2217 2358 2956 3144 4434 4716 5912 6288 6651 8868 9432 11824 13302 17736 18864 26604 35472 53208 96809 106416 193618 290427 387236 407483 580854 774472 814966 871281 1161708 1222449 1548944 1629932 1742562 2323416 2444898 3259864 3485124 3667347 4646832 4889796 6519728 6970248 7334694 9779592 13940496 14669388 19559184 29338776 53380273 58677552 106760546 160140819 213521092 301129937 320281638 427042184 480422457 602259874 640563276 854084368 903389811 960844914 1204519748 1281126552 1806779622 1921689828 2409039496 2562253104 2710169433 3613559244 3843379656 4818078992 5420338866 7227118488 7686759312 10840677732 14454236976 21681355464 39448021747 43362710928 78896043494 118344065241 157792086988 236688130482 315584173976 355032195723 473376260964 631168347952 710064391446 946752521928 1420128782892 1893505043856 2840257565784 5680515131568