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218308814329056 = 25311236278749813
BaseRepresentation
bin110001101000110011111011…
…010101000101010011100000
31001121222010012121220001100220
4301220303323111011103200
5212103232422432012211
62052145403525243040
763661201634330253
oct6150637325052340
91047863177801326
10218308814329056
1163618280431770
1220599864263480
1394a7581cac279
143bca2bb01709a
151a38aa7359806
hexc68cfb5454e0

218308814329056 has 96 divisors (see below), whose sum is σ = 625183590100608. Its totient is φ = 66151378659840.

The previous prime is 218308814329043. The next prime is 218308814329063. The reversal of 218308814329056 is 650923418803812.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2183088143290562 (a number of 29 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, 20575206 + ... + 29325018.

It is an arithmetic number, because the mean of its divisors is an integer number (6512329063548).

Almost surely, 2218308814329056 is an apocalyptic number.

It is an amenable number.

218308814329056 is an abundant number, since it is smaller than the sum of its proper divisors (406874775771552).

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

218308814329056 is a wasteful number, since it uses less digits than its factorization.

218308814329056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8773464 (or 8773456 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 218308814329056 in words is "two hundred eighteen trillion, three hundred eight billion, eight hundred fourteen million, three hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 23627 47254 70881 94508 141762 189016 259897 283524 378032 519794 567048 756064 779691 1039588 1134096 1559382 2079176 2268192 3118764 4158352 6237528 8316704 8749813 12475056 17499626 24950112 26249439 34999252 52498878 69998504 96247943 104997756 139997008 192495886 209995512 279994016 288743829 384991772 419991024 577487658 769983544 839982048 1154975316 1539967088 2309950632 3079934176 4619901264 9239802528 206731831751 413463663502 620195495253 826927327004 1240390990506 1653854654008 2274050149261 2480781981012 3307709308016 4548100298522 4961563962024 6615418616032 6822150447783 9096200597044 9923127924048 13644300895566 18192401194088 19846255848096 27288601791132 36384802388176 54577203582264 72769604776352 109154407164528 218308814329056