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58292315348868 = 223217832115438753
BaseRepresentation
bin11010100000100001111001…
…01111111101111110000100
321122101200122200102222011200
431100100330233331332010
530120030130212130433
6323551041525502500
715164323626050226
oct1520207457757604
9248350580388150
1058292315348868
11176346a5378477
126655536571a30
13266ac32045a93
14105751256c416
156b14b47ca613
hex35043cbfdf84

58292315348868 has 144 divisors (see below), whose sum is σ = 158645756558016. Its totient is φ = 17981819412480.

The previous prime is 58292315348857. The next prime is 58292315348881. The reversal of 58292315348868 is 86884351329285.

58292315348868 is a `hidden beast` number, since 5 + 8 + 2 + 9 + 2 + 3 + 1 + 534 + 8 + 86 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 58292315348796 and 58292315348805.

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, 7998580 + ... + 13437332.

It is an arithmetic number, because the mean of its divisors is an integer number (1101706642764).

Almost surely, 258292315348868 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 58292315348868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79322878279008).

58292315348868 is an abundant number, since it is smaller than the sum of its proper divisors (100353441209148).

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

58292315348868 is a wasteful number, since it uses less digits than its factorization.

58292315348868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5439074 (or 5439069 counting only the distinct ones).

The product of its digits is 796262400, while the sum is 72.

The spelling of 58292315348868 in words is "fifty-eight trillion, two hundred ninety-two billion, three hundred fifteen million, three hundred forty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 83 102 153 166 204 211 249 306 332 422 498 612 633 747 844 996 1266 1411 1494 1899 2532 2822 2988 3587 3798 4233 5644 7174 7596 8466 10761 12699 14348 16932 17513 21522 25398 32283 35026 43044 50796 52539 64566 70052 105078 129132 157617 210156 297721 315234 595442 630468 893163 1190884 1786326 2679489 3572652 5358978 5438753 10717956 10877506 16316259 21755012 32632518 48948777 65265036 92458801 97897554 184917602 195795108 277376403 369835204 451416499 554752806 832129209 902832998 1109505612 1147576883 1354249497 1664258418 1805665996 2295153766 2708498994 3328516836 3442730649 4062748491 4590307532 5416997988 6885461298 7674080483 8125496982 10328191947 13770922596 15348160966 16250993964 19508807011 20656383894 23022241449 30696321932 39017614022 41312767788 46044482898 58526421033 69066724347 78035228044 92088965796 95248881289 117052842066 138133448694 175579263099 190497762578 234105684132 276266897388 285746643867 351158526198 380995525156 571493287734 702317052396 857239931601 1142986575468 1619230981913 1714479863202 3238461963826 3428959726404 4857692945739 6476923927652 9715385891478 14573078837217 19430771782956 29146157674434 58292315348868