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18348642322902 = 23229283119312241
BaseRepresentation
bin1000010110000001000000…
…10011101100100111010110
32101222010001102122201012200
410023000200103230213112
54401111004413313102
6103005125552025330
73602434314250533
oct413004023544726
971863042581180
1018348642322902
115934685274711
12208410b232246
13a3136726a468
14476116bc7d8a
1521c454b2751c
hex10b0204ec9d6

18348642322902 has 144 divisors (see below), whose sum is σ = 41707940955408. Its totient is φ = 5828795320320.

The previous prime is 18348642322897. The next prime is 18348642322903. The reversal of 18348642322902 is 20922324684381.

18348642322902 is a `hidden beast` number, since 1 + 8 + 3 + 486 + 42 + 32 + 2 + 90 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18348642322903) 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, 1498943502 + ... + 1498955742.

It is an arithmetic number, because the mean of its divisors is an integer number (289638478857).

Almost surely, 218348642322902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18348642322902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20853970477704).

18348642322902 is an abundant number, since it is smaller than the sum of its proper divisors (23359298632506).

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

18348642322902 is a wasteful number, since it uses less digits than its factorization.

18348642322902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13583 (or 13551 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 18348642322902 in words is "eighteen trillion, three hundred forty-eight billion, six hundred forty-two million, three hundred twenty-two thousand, nine hundred two".

Divisors: 1 2 3 6 9 18 29 58 83 87 166 174 249 261 498 522 747 841 1193 1494 1682 2386 2407 2523 3579 4814 5046 7158 7221 7569 10737 12241 14442 15138 21474 21663 24482 34597 36723 43326 69194 69803 73446 99019 103791 110169 139606 198038 207582 209409 220338 297057 311373 354989 418818 594114 622746 628227 709978 891171 1003313 1016003 1064967 1256454 1782342 2006626 2032006 2129934 2871551 3009939 3048009 3194901 5743102 6019878 6096018 6389802 8614653 9029817 9144027 10294681 14603513 17229306 18059634 18288054 20589362 25843959 29207026 29464087 30884043 43810539 51687918 58928174 61768086 83274979 87621078 88392261 92652129 131431617 166549958 176784522 185304258 249824937 262863234 265176783 423501877 499649874 530353566 749474811 847003754 854458523 1212091579 1270505631 1498949622 1708917046 2424183158 2541011262 2563375569 3636274737 3811516893 5126751138 7272549474 7623033786 7690126707 10908824211 12281554433 15380253414 21817648422 24563108866 35150655791 36844663299 70301311582 73689326598 105451967373 110533989897 210903934746 221067979794 316355902119 632711804238 1019369017939 2038738035878 3058107053817 6116214107634 9174321161451 18348642322902