Search a number
-
+
56105839514730 = 23513737952796823
BaseRepresentation
bin11001100000111001010001…
…01000100101010001101010
321100122122222102102020120010
430300130220220211101222
524323214224403432410
6315154400012312350
714550341002106145
oct1460345050452152
9240578872366503
1056105839514730
1116971397803475
1263618301726b6
13253c9b132a965
14dbd773c0d05c
15674695818c20
hex330728a2546a

56105839514730 has 128 divisors (see below), whose sum is σ = 136040468889600. Its totient is φ = 14808183796224.

The previous prime is 56105839514723. The next prime is 56105839514969. The reversal of 56105839514730 is 3741593850165.

It is a super-3 number, since 3×561058395147303 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8223042099 + ... + 8223048921.

It is an arithmetic number, because the mean of its divisors is an integer number (1062816163200).

Almost surely, 256105839514730 is an apocalyptic number.

56105839514730 is an abundant number, since it is smaller than the sum of its proper divisors (79934629374870).

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

56105839514730 is a wasteful number, since it uses less digits than its factorization.

56105839514730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12628.

The product of its (nonzero) digits is 13608000, while the sum is 57.

The spelling of 56105839514730 in words is "fifty-six trillion, one hundred five billion, eight hundred thirty-nine million, five hundred fourteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 137 274 379 411 685 758 822 1137 1370 1895 2055 2274 3790 4110 5279 5685 6823 10558 11370 13646 15837 20469 26395 31674 34115 40938 51923 52790 68230 79185 102345 103846 155769 158370 204690 259615 311538 519230 723223 778845 934751 1446446 1557690 1869502 2000741 2169669 2585917 2804253 3616115 4001482 4339338 4673755 5171834 5608506 6002223 7232230 7757751 9347510 10003705 10848345 12004446 12929585 14021265 15515502 20007410 21696690 25859170 28042530 30011115 36018617 38788755 60022230 72037234 77577510 108055851 180093085 216111702 274101517 354270629 360186170 540279255 548203034 708541258 822304551 1062811887 1080558510 1370507585 1644609102 1771353145 2125623774 2741015170 3542706290 4111522755 4934550529 5314059435 8223045510 9869101058 10628118870 13651055843 14803651587 24672752645 27302111686 29607303174 40953167529 49345505290 68255279215 74018257935 81906335058 136510558430 148036515870 204765837645 409531675290 1870194650491 3740389300982 5610583951473 9350973252455 11221167902946 18701946504910 28052919757365 56105839514730