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211374406017 = 3261385017133
BaseRepresentation
bin1100010011011011100…
…1010111100110000001
3202012121001020101020100
43010312321113212001
511430343321443032
6241034251033013
721162024543405
oct3046671274601
9665531211210
10211374406017
1181709383855
1234b70a3b769
1316c17996738
14a3329b3105
155771d1d97c
hex3136e57981

211374406017 has 12 divisors (see below), whose sum is σ = 310323810004. Its totient is φ = 138606167520.

The previous prime is 211374405961. The next prime is 211374406043. The reversal of 211374406017 is 710604473112.

211374406017 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 7 + 4 + 40 + 601 + 7 = 666.

211374406017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 70598615616 + 140775790401 = 265704^2 + 375201^2 .

It is not a de Polignac number, because 211374406017 - 220 = 211373357441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211374406417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192508018 + ... + 192509115.

Almost surely, 2211374406017 is an apocalyptic number.

It is an amenable number.

211374406017 is a deficient number, since it is larger than the sum of its proper divisors (98949403987).

211374406017 is a wasteful number, since it uses less digits than its factorization.

211374406017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385017200 (or 385017197 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 211374406017 its reverse (710604473112), we get a palindrome (921978879129).

The spelling of 211374406017 in words is "two hundred eleven billion, three hundred seventy-four million, four hundred six thousand, seventeen".

Divisors: 1 3 9 61 183 549 385017133 1155051399 3465154197 23486045113 70458135339 211374406017