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218314961073 = 34111072289929
BaseRepresentation
bin1100101101010010010…
…1011111000010110001
3202212111202010002220000
43023110211133002301
512034102112223243
6244143103140213
721526022356656
oct3132445370261
9685452102800
10218314961073
1184650116570
12363892a4669
1317782888251
14a7d0697c2d
155a2b2e45d3
hex32d495f0b1

218314961073 has 40 divisors (see below), whose sum is σ = 359097662880. Its totient is φ = 131075478720.

The previous prime is 218314961063. The next prime is 218314961141. The reversal of 218314961073 is 370169413812.

218314961073 is a `hidden beast` number, since 2 + 1 + 83 + 1 + 496 + 10 + 73 = 666.

218314961073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 218314961073 - 24 = 218314961057 is a prime.

It is a super-2 number, since 2×2183149610732 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (218314961063) 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 39 ways as a sum of consecutive naturals, for example, 1049628 + ... + 1240301.

It is an arithmetic number, because the mean of its divisors is an integer number (8977441572).

Almost surely, 2218314961073 is an apocalyptic number.

It is an amenable number.

218314961073 is a deficient number, since it is larger than the sum of its proper divisors (140782701807).

218314961073 is a wasteful number, since it uses less digits than its factorization.

218314961073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290059 (or 2290050 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 218314961073 in words is "two hundred eighteen billion, three hundred fourteen million, nine hundred sixty-one thousand, seventy-three".

Divisors: 1 3 9 11 27 33 81 99 107 297 321 891 963 1177 2889 3531 8667 10593 31779 95337 2289929 6869787 20609361 25189219 61828083 75567657 185484249 226702971 245022403 680108913 735067209 2040326739 2205201627 2695246433 6615604881 8085739299 19846814643 24257217897 72771653691 218314961073