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218383835351 = 11891571420817
BaseRepresentation
bin1100101101100010110…
…0001110000011010111
3202212200112201021122012
43023120230032003113
512034222230212401
6244154003254435
721530516654423
oct3133054160327
9685615637565
10218383835351
1184685a88860
12363a837a41b
1317793c21566
14a7d98a5b83
155a3239b8bb
hex32d8b0e0d7

218383835351 has 16 divisors (see below), whose sum is σ = 242448383520. Its totient is φ = 195049620480.

The previous prime is 218383835339. The next prime is 218383835389. The reversal of 218383835351 is 153538383812.

218383835351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-218383835351 is a prime.

It is a super-2 number, since 2×2183838353512 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 218383835351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218383835051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556706 + ... + 864111.

It is an arithmetic number, because the mean of its divisors is an integer number (15153023970).

Almost surely, 2218383835351 is an apocalyptic number.

218383835351 is a deficient number, since it is larger than the sum of its proper divisors (24064548169).

218383835351 is a wasteful number, since it uses less digits than its factorization.

218383835351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421074.

The product of its digits is 2073600, while the sum is 50.

The spelling of 218383835351 in words is "two hundred eighteen billion, three hundred eighty-three million, eight hundred thirty-five thousand, three hundred fifty-one".

Divisors: 1 11 89 157 979 1727 13973 153703 1420817 15628987 126452713 223068269 1390979843 2453750959 19853075941 218383835351