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130576797434280 = 233523169927846047
BaseRepresentation
bin11101101100001001000111…
…101000001000000110101000
3122010100000112112010212202010
4131230021013220020012220
5114103332240120344110
61141414052544435520
736334601524045341
oct3554110750100650
9563300475125663
10130576797434280
113867334402677a
121278a7a9318ba0
1357b24541ab462
142435d44aa50c8
151016907442020
hex76c247a081a8

130576797434280 has 128 divisors (see below), whose sum is σ = 409002753024000. Its totient is φ = 33286940620032.

The previous prime is 130576797434269. The next prime is 130576797434297. The reversal of 130576797434280 is 82434797675031.

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 31 ways as a sum of consecutive naturals, for example, 9233784 + ... + 18612263.

It is an arithmetic number, because the mean of its divisors is an integer number (3195334008000).

It is a 1-persistent number, because it is pandigital, but 2⋅130576797434280 = 261153594868560 is not.

Almost surely, 2130576797434280 is an apocalyptic number.

130576797434280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130576797434280 is an abundant number, since it is smaller than the sum of its proper divisors (278425955589720).

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

130576797434280 is a wasteful number, since it uses less digits than its factorization.

130576797434280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27847783 (or 27847779 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 66.

The spelling of 130576797434280 in words is "one hundred thirty trillion, five hundred seventy-six billion, seven hundred ninety-seven million, four hundred thirty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 1699 2760 3398 5097 6796 8495 10194 13592 16990 20388 25485 33980 39077 40776 50970 67960 78154 101940 117231 156308 195385 203880 234462 312616 390770 468924 586155 781540 937848 1172310 1563080 2344620 4689240 27846047 55692094 83538141 111384188 139230235 167076282 222768376 278460470 334152564 417690705 556920940 640459081 668305128 835381410 1113841880 1280918162 1670762820 1921377243 2561836324 3202295405 3341525640 3842754486 5123672648 6404590810 7685508972 9606886215 12809181620 15371017944 19213772430 25618363240 38427544860 47310433853 76855089720 94620867706 141931301559 189241735412 236552169265 283862603118 378483470824 473104338530 567725206236 709656507795 946208677060 1088139978619 1135450412472 1419313015590 1892417354120 2176279957238 2838626031180 3264419935857 4352559914476 5440699893095 5677252062360 6528839871714 8705119828952 10881399786190 13057679743428 16322099679285 21762799572380 26115359486856 32644199358570 43525599144760 65288398717140 130576797434280