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129166203609 = 312172292
BaseRepresentation
bin111100001001011100…
…1111101101011011001
3110100101211000000000000
41320102321331223121
54104013022003414
6135201012003213
712221600421042
oct1702271755331
9410354000000
10129166203609
114a862a55603
1221049600509
13c24621a9a1
1463748638c9
15355ea62b09
hex1e12e7dad9

129166203609 has 117 divisors (see below), whose sum is σ = 213158459917. Its totient is φ = 78250790016.

The previous prime is 129166203589. The next prime is 129166203623. The reversal of 129166203609 is 906302661921.

The square root of 129166203609 is 359397.

It is a perfect power (a square), and thus also a powerful number.

129166203609 is a `hidden beast` number, since 1 + 2 + 9 + 16 + 6 + 20 + 3 + 609 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12767870025 + 116398333584 = 112995^2 + 341172^2 .

It is not a de Polignac number, because 129166203609 - 215 = 129166170841 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (129166203629) by changing a digit.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 4454007007 + ... + 4454007035.

Almost surely, 2129166203609 is an apocalyptic number.

129166203609 is the 359397-th square number.

129166203609 is the 179699-th centered octagonal number.

It is an amenable number.

129166203609 is a deficient number, since it is larger than the sum of its proper divisors (83992256308).

129166203609 is an frugal number, since it uses more digits than its factorization.

129166203609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 129166203609 in words is "one hundred twenty-nine billion, one hundred sixty-six million, two hundred three thousand, six hundred nine".

Divisors: 1 3 9 17 27 29 51 81 87 153 243 261 289 459 493 729 783 841 867 1377 1479 2187 2349 2523 2601 4131 4437 6561 7047 7569 7803 8381 12393 13311 14297 19683 21141 22707 23409 25143 37179 39933 42891 59049 63423 68121 70227 75429 111537 119799 128673 177147 190269 204363 210681 226287 243049 334611 359397 386019 531441 570807 613089 632043 678861 729147 1003833 1078191 1158057 1712421 1839267 1896129 2036583 2187441 3011499 3234573 3474171 5137263 5517801 5688387 6109749 6562323 9034497 9703719 10422513 15411789 16553403 17065161 18329247 19686969 29111157 31267539 49660209 51195483 54987741 59060907 87333471 93802617 148980627 153586449 164963223 177182721 262000413 281407851 446941881 494889669 531548163 844223553 1484669007 1594644489 2532670659 4454007021 4783933467 7598011977 14351800401 43055401203 129166203609