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216544045311 = 32114746538587
BaseRepresentation
bin1100100110101100000…
…1111110100011111111
3202200221022211021011100
43021223001332203333
512021440233422221
6243251242224143
721434110005156
oct3115301764377
9680838737140
10216544045311
1183921517320
1235b741b5053
131755ca0c3b9
14a6a33d259d
155975ad3926
hex326b07e8ff

216544045311 has 24 divisors (see below), whose sum is σ = 348480946944. Its totient is φ = 128446497360.

The previous prime is 216544045297. The next prime is 216544045331. The reversal of 216544045311 is 113540445612.

216544045311 is a `hidden beast` number, since 2 + 165 + 4 + 40 + 453 + 1 + 1 = 666.

It is not a de Polignac number, because 216544045311 - 221 = 216541948159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216544045331) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23264641 + ... + 23273946.

It is an arithmetic number, because the mean of its divisors is an integer number (14520039456).

Almost surely, 2216544045311 is an apocalyptic number.

216544045311 is a deficient number, since it is larger than the sum of its proper divisors (131936901633).

216544045311 is a wasteful number, since it uses less digits than its factorization.

216544045311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46538651 (or 46538648 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 216544045311 in words is "two hundred sixteen billion, five hundred forty-four million, forty-five thousand, three hundred eleven".

Divisors: 1 3 9 11 33 47 99 141 423 517 1551 4653 46538587 139615761 418847283 511924457 1535773371 2187313589 4607320113 6561940767 19685822301 24060449479 72181348437 216544045311