Search a number
-
+
18342508509351 = 3313269471939283
BaseRepresentation
bin1000010101110101100101…
…01101000011100010100111
32101221112012221210200212000
410022322302231003202213
54401010424134244401
6103002233155100343
73602126313556305
oct412726255034247
971845187720760
1018342508509351
115932017957814
122082a98ba16b3
13a308ca54c1a0
14475ad4305275
1521c1e63ab186
hex10aeb2b438a7

18342508509351 has 32 divisors (see below), whose sum is σ = 29265502129920. Its totient is φ = 11287272838752.

The previous prime is 18342508509331. The next prime is 18342508509371. The reversal of 18342508509351 is 15390580524381.

18342508509351 is a `hidden beast` number, since 1 + 8 + 3 + 42 + 508 + 5 + 0 + 93 + 5 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (18342508509331) and next prime (18342508509371).

It is not a de Polignac number, because 18342508509351 - 211 = 18342508507303 is a prime.

It is a super-2 number, since 2×183425085093512 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18342508509331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8488756 + ... + 10428038.

It is an arithmetic number, because the mean of its divisors is an integer number (914546941560).

Almost surely, 218342508509351 is an apocalyptic number.

18342508509351 is a deficient number, since it is larger than the sum of its proper divisors (10922993620569).

18342508509351 is a wasteful number, since it uses less digits than its factorization.

18342508509351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966252 (or 1966246 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 18342508509351 in words is "eighteen trillion, three hundred forty-two billion, five hundred eight million, five hundred nine thousand, three hundred fifty-one".

Divisors: 1 3 9 13 27 39 117 351 26947 80841 242523 350311 727569 1050933 1939283 3152799 5817849 9458397 17453547 25210679 52360641 75632037 226896111 680688333 52257859001 156773577003 470320731009 679352167013 1410962193027 2038056501039 6114169503117 18342508509351