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85355644655358 = 232721119463038791
BaseRepresentation
bin10011011010000101101000…
…111000010001011011111110
3102012012220211122010112212200
4103122011220320101123332
542141431330012432413
6501311501500212330
723656512305432100
oct2332055070213376
9365186748115780
1085355644655358
1125219142211080
1296a65b483a0a6
133882006085a4c
14171134171d570
159d0469a04573
hex4da168e116fe

85355644655358 has 144 divisors (see below), whose sum is σ = 247040456307840. Its totient is φ = 21003439514400.

The previous prime is 85355644655357. The next prime is 85355644655389.

85355644655358 is a `hidden beast` number, since 8 + 5 + 3 + 5 + 5 + 64 + 4 + 6 + 553 + 5 + 8 = 666.

85355644655358 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85355644655357) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 231335058 + ... + 231703733.

It is an arithmetic number, because the mean of its divisors is an integer number (1715558724360).

Almost surely, 285355644655358 is an apocalyptic number.

85355644655358 is an abundant number, since it is smaller than the sum of its proper divisors (161684811652482).

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

85355644655358 is a wasteful number, since it uses less digits than its factorization.

85355644655358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463038843 (or 463038833 counting only the distinct ones).

The product of its digits is 5184000000, while the sum is 72.

The spelling of 85355644655358 in words is "eighty-five trillion, three hundred fifty-five billion, six hundred forty-four million, six hundred fifty-five thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 49 57 63 66 77 98 99 114 126 133 147 154 171 198 209 231 266 294 342 399 418 441 462 539 627 693 798 882 931 1078 1197 1254 1386 1463 1617 1862 1881 2394 2793 2926 3234 3762 4389 4851 5586 8379 8778 9702 10241 13167 16758 20482 26334 30723 61446 92169 184338 463038791 926077582 1389116373 2778232746 3241271537 4167349119 5093426701 6482543074 8334698238 8797737029 9723814611 10186853402 15280280103 17595474058 19447629222 22688900759 26393211087 29171443833 30560560206 35653986907 45377801518 45840840309 52786422174 58342887666 61584159203 68066702277 71307973814 79179633261 91681680618 96775107319 106961960721 123168318406 136133404554 158359266522 184752477609 193550214638 204200106831 213923921442 249577908349 290325321957 320885882163 369504955218 408400213662 431089114421 499155816698 554257432827 580650643914 641771764326 677425751233 748733725047 862178228842 870975965871 1108514865654 1293267343263 1354851502466 1497467450094 1741951931742 2032277253699 2246201175141 2586534686526 3879802029789 4064554507398 4492402350282 4741980258631 6096831761097 7759604059578 9483960517262 12193663522194 14225940775893 28451881551786 42677822327679 85355644655358