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9018918436842 = 232976021785781
BaseRepresentation
bin1000001100111110000101…
…1011011111111111101010
31011221012101221011222212100
42003033201123133333222
52140231221104434332
631103122310154230
71620411130554636
oct203174133377752
934835357158770
109018918436842
1129679a13757a6
121017b15652976
13505632470712
142327374abdc6
1510990950467c
hex833e16dffea

9018918436842 has 48 divisors (see below), whose sum is σ = 19743001459272. Its totient is φ = 2975229204480.

The previous prime is 9018918436841. The next prime is 9018918436859. The reversal of 9018918436842 is 2486348198109.

9018918436842 is a `hidden beast` number, since 9 + 0 + 189 + 18 + 436 + 8 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6600896546841 + 2418021890001 = 2569221^2 + 1554999^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9018918436842.

It is not an unprimeable number, because it can be changed into a prime (9018918436841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105095992 + ... + 105181772.

Almost surely, 29018918436842 is an apocalyptic number.

9018918436842 is an abundant number, since it is smaller than the sum of its proper divisors (10724083022430).

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

9018918436842 is a wasteful number, since it uses less digits than its factorization.

9018918436842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146103 (or 146100 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 9018918436842 in words is "nine trillion, eighteen billion, nine hundred eighteen million, four hundred thirty-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 97 194 291 582 873 1746 60217 85781 120434 171562 180651 257343 361302 514686 541953 772029 1083906 1544058 5841049 8320757 11682098 16641514 17523147 24962271 35046294 49924542 52569441 74886813 105138882 149773626 5165474477 10330948954 15496423431 30992846862 46489270293 92978540586 501051024269 1002102048538 1503153072807 3006306145614 4509459218421 9018918436842