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218432272101216 = 25318119125577359
BaseRepresentation
bin110001101010100110111001…
…111111000110111101100000
31001122101220212121110200112220
4301222212321333012331200
5212112243243124214331
62052322222301551040
764003132221145125
oct6152467177067540
91048356777420486
10218432272101216
11636656740a1228
12205b9779b75480
1394b60c8669364
143bd226d68874c
151a3bdd0b7a296
hexc6a9b9fc6f60

218432272101216 has 48 divisors (see below), whose sum is σ = 573416364326400. Its totient is φ = 72806738311808.

The previous prime is 218432272101187. The next prime is 218432272101217. The reversal of 218432272101216 is 612101272234812.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218432272101217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61049256 + ... + 64528103.

It is an arithmetic number, because the mean of its divisors is an integer number (11946174256800).

Almost surely, 2218432272101216 is an apocalyptic number.

It is an amenable number.

218432272101216 is an abundant number, since it is smaller than the sum of its proper divisors (354984092225184).

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

218432272101216 is a wasteful number, since it uses less digits than its factorization.

218432272101216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125595491 (or 125595483 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 218432272101216 in words is "two hundred eighteen trillion, four hundred thirty-two billion, two hundred seventy-two million, one hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 18119 36238 54357 72476 108714 144952 217428 289904 434856 579808 869712 1739424 125577359 251154718 376732077 502309436 753464154 1004618872 1506928308 2009237744 3013856616 4018475488 6027713232 12055426464 2275336167721 4550672335442 6826008503163 9101344670884 13652017006326 18202689341768 27304034012652 36405378683536 54608068025304 72810757367072 109216136050608 218432272101216