Search a number
-
+
218304038383938 = 232131277345852291
BaseRepresentation
bin110001101000101111011110…
…101010010011000101000010
31001121221122212210002220022200
4301220233132222103011002
5212103143132311241223
62052143254000214030
763660642402425103
oct6150573652230502
91047848783086280
10218304038383938
116361624a547491
122059895090a316
1394a6ca06aa940
143bc9d869da3aa
151a388c7e0ea43
hexc68bdea93142

218304038383938 has 48 divisors (see below), whose sum is σ = 513386924983296. Its totient is φ = 66641571974880.

The previous prime is 218304038383931. The next prime is 218304038384011. The reversal of 218304038383938 is 839383830403812.

218304038383938 is a `hidden beast` number, since 2 + 18 + 30 + 403 + 83 + 83 + 9 + 38 = 666.

It is not an unprimeable number, because it can be changed into a prime (218304038383931) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3672896428 + ... + 3672955863.

It is an arithmetic number, because the mean of its divisors is an integer number (10695560937152).

Almost surely, 2218304038383938 is an apocalyptic number.

218304038383938 is an abundant number, since it is smaller than the sum of its proper divisors (295082886599358).

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

218304038383938 is a wasteful number, since it uses less digits than its factorization.

218304038383938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7345852439 (or 7345852436 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 218304038383938 in words is "two hundred eighteen trillion, three hundred four billion, thirty-eight million, three hundred eighty-three thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 127 234 254 381 762 1143 1651 2286 3302 4953 9906 14859 29718 7345852291 14691704582 22037556873 44075113746 66112670619 95496079783 132225341238 190992159566 286488239349 572976478698 859464718047 932923240957 1718929436094 1865846481914 2798769722871 5597539445742 8396309168613 12128002132441 16792618337226 24256004264882 36384006397323 72768012794646 109152019191969 218304038383938