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211842202248112 = 2447593947433079
BaseRepresentation
bin110000001010101101011011…
…001101101010001110110000
31000210001220202022101210211211
4300022231123031222032300
5210231310312233414422
62030314544134045504
762423044153505332
oct6012553315521660
91023056668353754
10211842202248112
11615548564aa657
121b914530aa9894
139128831a4c837
143a45308393452
15197577da35577
hexc0ab5b36a3b0

211842202248112 has 40 divisors (see below), whose sum is σ = 419247712857600. Its totient is φ = 103650003116352.

The previous prime is 211842202248071. The next prime is 211842202248137.

It is a happy number.

211842202248112 is nontrivially palindromic in base 10.

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 7 ways as a sum of consecutive naturals, for example, 19250412 + ... + 28182667.

It is an arithmetic number, because the mean of its divisors is an integer number (10481192821440).

Almost surely, 2211842202248112 is an apocalyptic number.

It is an amenable number.

211842202248112 is a deficient number, since it is larger than the sum of its proper divisors (207405510609488).

211842202248112 is a wasteful number, since it uses less digits than its factorization.

211842202248112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47439073 (or 47439067 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 211842202248112 in words is "two hundred eleven trillion, eight hundred forty-two billion, two hundred two million, two hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 16 47 94 188 376 752 5939 11878 23756 47512 95024 279133 558266 1116532 2233064 4466128 47433079 94866158 189732316 379464632 758929264 2229354713 4458709426 8917418852 17834837704 35669675408 281705056181 563410112362 1126820224724 2253640449448 4507280898896 13240137640507 26480275281014 52960550562028 105921101124056 211842202248112