Search a number
-
+
12720645135513 = 35723449372367
BaseRepresentation
bin1011100100011100000110…
…0010001101110010011001
31200001002012122001001100000
42321013001202031302121
53131403340123314023
643015441140203213
72452015305416340
oct271070142156231
950032178031300
1012720645135513
114064882609367
12151541a399509
137137230a4233
1431d97ab40b57
15170d5e6ca243
hexb91c188dc99

12720645135513 has 96 divisors (see below), whose sum is σ = 22729100599296. Its totient is φ = 6951255651648.

The previous prime is 12720645135511. The next prime is 12720645135593. The reversal of 12720645135513 is 31553154602721.

12720645135513 is a `hidden beast` number, since 1 + 2 + 7 + 20 + 64 + 5 + 13 + 551 + 3 = 666.

It is not a de Polignac number, because 12720645135513 - 21 = 12720645135511 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12720645135511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175743456 + ... + 175815822.

It is an arithmetic number, because the mean of its divisors is an integer number (236761464576).

Almost surely, 212720645135513 is an apocalyptic number.

It is an amenable number.

12720645135513 is a deficient number, since it is larger than the sum of its proper divisors (10008455463783).

12720645135513 is an equidigital number, since it uses as much as digits as its factorization.

12720645135513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76905 (or 76893 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 12720645135513 in words is "twelve trillion, seven hundred twenty billion, six hundred forty-five million, one hundred thirty-five thousand, five hundred thirteen".

Divisors: 1 3 7 9 21 23 27 63 69 81 161 189 207 243 483 567 621 1449 1701 1863 4347 4493 5589 13041 13479 31451 39123 40437 72367 94353 103339 121311 217101 283059 310017 363933 506569 651303 723373 849177 930051 1091799 1519707 1664441 1953909 2170119 2547531 2790153 4559121 4993323 5861727 6510357 7642593 8370459 11651087 13677363 14979969 17585181 19531071 25111377 34953261 41032089 44939907 58593213 104859783 123096267 134819721 175779639 314579349 325144931 404459163 943738047 975434793 2276014517 2831214141 2926304379 6828043551 7478333413 8778913137 20484130653 22435000239 26336739411 52348333891 61452391959 67305000717 79010218233 157045001673 184357175877 201915002151 471135005019 553071527631 605745006453 1413405015057 1817235019359 4240215045171 12720645135513