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18680065257825 = 3252434742197577
BaseRepresentation
bin1000011111101010010101…
…01001110111000101100001
32110010210111212101020002100
410033311022221313011201
54422023233201222300
6103421300431441013
73635406300566316
oct417651251670541
973123455336070
1018680065257825
115a52197939014
1221183a4086169
13a566a41acb8a
14488197336d0d
15225da0cd5700
hex10fd4aa77161

18680065257825 has 144 divisors (see below), whose sum is σ = 35048006712576. Its totient is φ = 9501248332800.

The previous prime is 18680065257767. The next prime is 18680065257871. The reversal of 18680065257825 is 52875256008681.

It is a happy number.

18680065257825 is a `hidden beast` number, since 1 + 8 + 6 + 8 + 0 + 0 + 6 + 52 + 578 + 2 + 5 = 666.

It is not a de Polignac number, because 18680065257825 - 28 = 18680065257569 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 191390437 + ... + 191488013.

It is an arithmetic number, because the mean of its divisors is an integer number (243388935504).

Almost surely, 218680065257825 is an apocalyptic number.

18680065257825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18680065257825 is a deficient number, since it is larger than the sum of its proper divisors (16367941454751).

18680065257825 is a wasteful number, since it uses less digits than its factorization.

18680065257825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98104 (or 98096 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 18680065257825 in words is "eighteen trillion, six hundred eighty billion, sixty-five million, two hundred fifty-seven thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 43 45 47 75 129 141 215 225 235 387 421 423 645 705 1075 1175 1263 1935 2021 2105 2115 3225 3525 3789 6063 6315 9675 10105 10525 10575 18103 18189 18945 19787 30315 31575 50525 54309 59361 90515 90945 94725 97577 98935 151575 162927 178083 271545 292731 296805 452575 454725 487885 494675 814635 850841 878193 890415 1357725 1463655 1484025 2439425 2552523 4073175 4195811 4254205 4390965 4452075 4586119 7318275 7657569 12587433 12762615 13758357 20979055 21271025 21954825 22930595 37762299 38287845 41079917 41275071 62937165 63813075 68791785 104895275 114652975 123239751 188811495 191439225 197203117 205399585 206375355 314685825 343958925 369719253 591609351 616198755 944057475 986015585 1026997925 1031876775 1766436431 1774828053 1848596265 1930756099 2958046755 3080993775 4930077925 5299309293 5792268297 8832182155 8874140265 9242981325 9653780495 14790233775 15897927879 17376804891 26496546465 28961341485 44160910775 44370701325 48268902475 79489639395 83022512257 86884024455 132482732325 144806707425 249067536771 397448196975 415112561285 434420122275 747202610313 1245337683855 2075562806425 3736013051565 6226688419275 18680065257825