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165144000516352 = 2811132347011163
BaseRepresentation
bin100101100011001010010101…
…011111001101000100000000
3210122201121112100012100011121
4211203022111133031010000
5133121204403113010402
61343122035000322024
746533155166216334
oct4543122537150400
9718647470170147
10165144000516352
11486901a4aa6040
121663201b773314
13711c0213c0100
142cad0259697c4
151415b93add837
hex9632957cd100

165144000516352 has 108 divisors (see below), whose sum is σ = 389400659749584. Its totient is φ = 69291188828160.

The previous prime is 165144000516269. The next prime is 165144000516361. The reversal of 165144000516352 is 253615000441561.

It is a junction number, because it is equal to n+sod(n) for n = 165144000516299 and 165144000516308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173029678 + ... + 173981485.

It is an arithmetic number, because the mean of its divisors is an integer number (3605561664348).

Almost surely, 2165144000516352 is an apocalyptic number.

It is an amenable number.

165144000516352 is an abundant number, since it is smaller than the sum of its proper divisors (224256659233232).

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

165144000516352 is a wasteful number, since it uses less digits than its factorization.

165144000516352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347011216 (or 347011189 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 165144000516352 in words is "one hundred sixty-five trillion, one hundred forty-four billion, five hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 169 176 208 256 286 338 352 416 572 676 704 832 1144 1352 1408 1664 1859 2288 2704 2816 3328 3718 4576 5408 7436 9152 10816 14872 18304 21632 29744 36608 43264 59488 118976 237952 475904 347011163 694022326 1388044652 2776089304 3817122793 4511145119 5552178608 7634245586 9022290238 11104357216 15268491172 18044580476 22208714432 30536982344 36089160952 44417428864 49622596309 58644886547 61073964688 72178321904 88834857728 99245192618 117289773094 122147929376 144356643808 198490385236 234579546188 244295858752 288713287616 396980770472 469159092376 488591717504 577426575232 645093752017 793961540944 938318184752 977183435008 1154853150464 1290187504034 1587923081888 1876636369504 2580375008068 3175846163776 3753272739008 5160750016136 6351692327552 7506545478016 10321500032272 12703384655104 15013090956032 20643000064544 41286000129088 82572000258176 165144000516352