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130443646845375 = 32531953115143901
BaseRepresentation
bin11101101010001101000111…
…001110111100000110111111
3122002212021212000211010122100
4131222031013032330012333
5114044142042043023000
61141232552321320143
736322146112523523
oct3552150716740677
9562767760733570
10130443646845375
1138621926a92566
1212768a29496053
1357a2a24678446
14242d712dd3d83
151013212be0a00
hex76a3473bc1bf

130443646845375 has 96 divisors (see below), whose sum is σ = 252192779916480. Its totient is φ = 64664814240000.

The previous prime is 130443646845353. The next prime is 130443646845419. The reversal of 130443646845375 is 573548646344031.

130443646845375 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 4 + 36 + 4 + 68 + 4 + 537 + 5 = 666.

It is not a de Polignac number, because 130443646845375 - 27 = 130443646845247 is a prime.

It is a super-2 number, since 2×1304436468453752 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56439076 + ... + 58704825.

It is an arithmetic number, because the mean of its divisors is an integer number (2627008124130).

Almost surely, 2130443646845375 is an apocalyptic number.

130443646845375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130443646845375 is a deficient number, since it is larger than the sum of its proper divisors (121749133071105).

130443646845375 is a wasteful number, since it uses less digits than its factorization.

130443646845375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115143994 (or 115143981 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 63.

The spelling of 130443646845375 in words is "one hundred thirty trillion, four hundred forty-three billion, six hundred forty-six million, eight hundred forty-five thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 19 25 45 53 57 75 95 125 159 171 225 265 285 375 475 477 795 855 1007 1125 1325 1425 2375 2385 3021 3975 4275 5035 6625 7125 9063 11925 15105 19875 21375 25175 45315 59625 75525 125875 226575 377625 1132875 115143901 345431703 575719505 1036295109 1727158515 2187734119 2878597525 5181475545 6102626753 6563202357 8635792575 10938670595 14392987625 18307880259 19689607071 25907377725 30513133765 32816011785 43178962875 54693352975 54923640777 91539401295 98448035355 115949908307 129536888625 152565668825 164080058925 273466764875 274618203885 347849724921 457697006475 492240176775 579749541535 762828344125 820400294625 1043549174763 1373091019425 1739248624605 2288485032375 2461200883875 2898747707675 5217745873815 6865455097125 8696243123025 14493738538375 26088729369075 43481215615125 130443646845375