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216430985673 = 32729676592683
BaseRepresentation
bin1100100110010001001…
…0101100000111001001
3202200122110002020111100
43021210102230013021
512021222313020143
6243232123052013
721431235011220
oct3114422540711
9680573066440
10216430985673
1183873715a01
1235b42371009
13175424754c6
14a6923a1cb7
15596abee6d3
hex32644ac1c9

216430985673 has 96 divisors (see below), whose sum is σ = 375828710400. Its totient is φ = 117405687168.

The previous prime is 216430985651. The next prime is 216430985677. The reversal of 216430985673 is 376589034612.

216430985673 is a `hidden beast` number, since 2 + 1 + 6 + 430 + 98 + 56 + 73 = 666.

It is not a de Polignac number, because 216430985673 - 26 = 216430985609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (216430985677) 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, 80666190 + ... + 80668872.

It is an arithmetic number, because the mean of its divisors is an integer number (3914882400).

It is a 1-persistent number, because it is pandigital, but 2⋅216430985673 = 432861971346 is not.

Almost surely, 2216430985673 is an apocalyptic number.

It is an amenable number.

216430985673 is a deficient number, since it is larger than the sum of its proper divisors (159397724727).

216430985673 is a wasteful number, since it uses less digits than its factorization.

216430985673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 216430985673 in words is "two hundred sixteen billion, four hundred thirty million, nine hundred eighty-five thousand, six hundred seventy-three".

Divisors: 1 3 7 9 21 29 63 67 87 201 203 261 469 603 609 659 1407 1827 1943 1977 2683 4221 4613 5829 5931 8049 13601 13839 17487 18781 19111 24147 40803 41517 44153 56343 57333 77807 122409 132459 133777 169029 171999 179761 233421 309071 397377 401331 539283 544649 700263 927213 1203993 1258327 1280437 1617849 1633947 1768097 2781639 3774981 3841311 4901841 5213069 5304291 8963059 11324943 11523933 12376679 15639207 15912873 26889177 36491483 37130037 46917621 51274813 80667531 109474449 111390111 118462499 153824439 328423347 355387497 358923691 461473317 829237493 1066162491 1076771073 2487712479 3230313219 3435412471 7463137437 10306237413 24047887297 30918712239 72143661891 216430985673