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218040560012 = 2211193122373761
BaseRepresentation
bin1100101100010000111…
…0101110100110001100
3202211210121210002101202
43023010032232212030
512033021340410022
6244055541525032
721516151115612
oct3130416564614
9684717702352
10218040560012
118451a236a30
1236311413778
131773aa81162
14a7a60696b2
155a12190592
hex32c43ae98c

218040560012 has 96 divisors (see below), whose sum is σ = 452624578560. Its totient is φ = 90799488000.

The previous prime is 218040559967. The next prime is 218040560041. The reversal of 218040560012 is 210065040812.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57972212 + ... + 57975972.

It is an arithmetic number, because the mean of its divisors is an integer number (4714839360).

Almost surely, 2218040560012 is an apocalyptic number.

218040560012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

218040560012 is an abundant number, since it is smaller than the sum of its proper divisors (234584018548).

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

218040560012 is a wasteful number, since it uses less digits than its factorization.

218040560012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6063 (or 6061 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 218040560012 in words is "two hundred eighteen billion, forty million, five hundred sixty thousand, twelve".

Divisors: 1 2 4 11 19 22 31 38 44 62 76 124 209 341 418 589 682 836 1178 1364 2237 2356 3761 4474 6479 7522 8948 12958 15044 24607 25916 41371 42503 49214 69347 71459 82742 85006 98428 116591 138694 142918 165484 170012 233182 277388 285836 466364 467533 762817 786049 935066 1282501 1317593 1525634 1572098 1870132 2215229 2565002 2635186 3051268 3144196 4430458 5130004 5270372 8413357 8860916 14493523 16826714 24367519 28987046 33653428 48735038 57974092 92546927 97470076 159853783 185093854 260814067 319707566 370187708 521628134 639415132 1043256268 1758391613 2868954737 3516783226 4955467273 5737909474 7033566452 9910934546 11475818948 19821869092 54510140003 109020280006 218040560012