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66544333219 = 713343472141
BaseRepresentation
bin111101111110010110…
…011111000110100011
320100202120220101020001
4331332112133012203
52042240322130334
650323044000431
74544013333250
oct757626370643
9210676811201
1066544333219
11262485a5511
1210a91690117
136376531000
143313ab8427
151ae705e714
hexf7e59f1a3

66544333219 has 64 divisors (see below), whose sum is σ = 86135132160. Its totient is φ = 50308352640.

The previous prime is 66544333181. The next prime is 66544333223. The reversal of 66544333219 is 91233344566.

It is not a de Polignac number, because 66544333219 - 27 = 66544333091 is a prime.

It is a super-3 number, since 3×665443332193 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (66544333259) 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 63 ways as a sum of consecutive naturals, for example, 31079889 + ... + 31082029.

It is an arithmetic number, because the mean of its divisors is an integer number (1345861440).

Almost surely, 266544333219 is an apocalyptic number.

66544333219 is a deficient number, since it is larger than the sum of its proper divisors (19590798941).

66544333219 is a wasteful number, since it uses less digits than its factorization.

With its successor (66544333220) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2251).

66544333219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2251 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 46.

The spelling of 66544333219 in words is "sixty-six billion, five hundred forty-four million, three hundred thirty-three thousand, two hundred nineteen".

Divisors: 1 7 13 43 47 91 169 301 329 559 611 1183 2021 2141 2197 3913 4277 7267 7943 14147 14987 15379 26273 27833 50869 55601 92063 94471 100627 103259 183911 194831 341549 361829 644441 661297 704389 722813 1196819 1308151 2390843 2532803 4326961 4440137 4703777 8377733 9157057 15558647 17005963 30288727 31080959 32926439 56250493 108910529 119041741 202262411 221077519 393753451 731256409 1415836877 1547542633 5118794863 9506333317 66544333219