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130589966516736 = 293314758352443
BaseRepresentation
bin11101101100010101011000…
…100100001100001000000000
3122010101021112022002120201210
4131230111120210030020000
5114104041222412013421
61141424111415530120
736335546052310626
oct3554253044141000
9563337468076653
10130589966516736
11386789916972a1
1212791263689940
1357b377260093c
142436833a85516
151016e28642576
hex76c55890c200

130589966516736 has 160 divisors (see below), whose sum is σ = 366763316502528. Its totient is φ = 41229501419520.

The previous prime is 130589966516677. The next prime is 130589966516761. The reversal of 130589966516736 is 637615669985031.

130589966516736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 26938270 + ... + 31414173.

Almost surely, 2130589966516736 is an apocalyptic number.

130589966516736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130589966516736 is an abundant number, since it is smaller than the sum of its proper divisors (236173349985792).

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

130589966516736 is an equidigital number, since it uses as much as digits as its factorization.

130589966516736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58352542 (or 58352526 counting only the distinct ones).

The product of its (nonzero) digits is 1322697600, while the sum is 75.

The spelling of 130589966516736 in words is "one hundred thirty trillion, five hundred eighty-nine billion, nine hundred sixty-six million, five hundred sixteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 64 93 94 96 124 128 141 186 188 192 248 256 282 372 376 384 496 512 564 744 752 768 992 1128 1457 1488 1504 1536 1984 2256 2914 2976 3008 3968 4371 4512 5828 5952 6016 7936 8742 9024 11656 11904 12032 15872 17484 18048 23312 23808 24064 34968 36096 46624 47616 69936 72192 93248 139872 186496 279744 372992 559488 745984 1118976 2237952 58352443 116704886 175057329 233409772 350114658 466819544 700229316 933639088 1400458632 1808925733 1867278176 2742564821 2800917264 3617851466 3734556352 5426777199 5485129642 5601834528 7235702932 7469112704 8227694463 10853554398 10970259284 11203669056 14471405864 14938225408 16455388926 21707108796 21940518568 22407338112 28942811728 29876450816 32910777852 43414217592 43881037136 44814676224 57885623456 65821555704 85019509451 86828435184 87762074272 89629352448 115771246912 131643111408 170039018902 173656870368 175524148544 231542493824 255058528353 263286222816 340078037804 347313740736 351048297088 463084987648 510117056706 526572445632 680156075608 694627481472 702096594176 926169975296 1020234113412 1053144891264 1360312151216 1389254962944 1404193188352 2040468226824 2106289782528 2720624302432 2778509925888 4080936453648 4212579565056 5441248604864 8161872907296 10882497209728 16323745814592 21764994419456 32647491629184 43529988838912 65294983258368 130589966516736