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218405740924 = 227193371218211
BaseRepresentation
bin1100101101100111111…
…1110010000101111100
3202212202001221012102201
43023121333302011330
512034243332202144
6244200105001244
721531204111160
oct3133177620574
9685661835381
10218405740924
118469738a838
12363b3783224
1317798621137
14a7dc768ca0
155a342771d4
hex32d9ff217c

218405740924 has 48 divisors (see below), whose sum is σ = 461166334720. Its totient is φ = 88412808960.

The previous prime is 218405740919. The next prime is 218405740939. The reversal of 218405740924 is 429047504812.

It is a super-2 number, since 2×2184057409242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 429822 + ... + 788389.

Almost surely, 2218405740924 is an apocalyptic number.

It is an amenable number.

218405740924 is an abundant number, since it is smaller than the sum of its proper divisors (242760593796).

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

218405740924 is a wasteful number, since it uses less digits than its factorization.

218405740924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218578 (or 1218576 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 218405740924 in words is "two hundred eighteen billion, four hundred five million, seven hundred forty thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 337 532 674 1348 2359 4718 6403 9436 12806 25612 44821 89642 179284 1218211 2436422 4872844 8527477 17054954 23146009 34109908 46292018 92584036 162022063 324044126 410537107 648088252 821074214 1642148428 2873759749 5747519498 7800205033 11495038996 15600410066 31200820132 54601435231 109202870462 218405740924