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11005034352543 = 337211756203831
BaseRepresentation
bin1010000000100100111100…
…1010011100111110011111
31102222001220202200021201000
42200021033022130332133
52420301302243240133
635223350515121343
72214042003365100
oct240111712347637
942861822607630
1011005034352543
113563232a9a550
121298a238a3253
1361aa0241ca9a
142a090a01a3a7
151413ed649413
hexa024f29cf9f

11005034352543 has 48 divisors (see below), whose sum is σ = 20689736843520. Its totient is φ = 5716900954800.

The previous prime is 11005034352527. The next prime is 11005034352547. The reversal of 11005034352543 is 34525343050011.

11005034352543 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 50 + 3 + 43 + 525 + 43 = 666.

It is not a de Polignac number, because 11005034352543 - 24 = 11005034352527 is a prime.

It is a super-2 number, since 2×110050343525432 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11005034352498 and 11005034352507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005034352547) 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 47 ways as a sum of consecutive naturals, for example, 378087363 + ... + 378116468.

It is an arithmetic number, because the mean of its divisors is an integer number (431036184240).

Almost surely, 211005034352543 is an apocalyptic number.

11005034352543 is a deficient number, since it is larger than the sum of its proper divisors (9684702490977).

11005034352543 is a wasteful number, since it uses less digits than its factorization.

11005034352543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756203865 (or 756203852 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 11005034352543 in words is "eleven trillion, five billion, thirty-four million, three hundred fifty-two thousand, five hundred forty-three".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 147 189 231 297 441 539 693 1323 1617 2079 4851 14553 756203831 2268611493 5293426817 6805834479 8318242141 15880280451 20417503437 24954726423 37053987719 47640841353 58227694987 74864179269 111161963157 142922524059 174683084961 224592537807 333485889471 407593864909 524049254883 1000457668413 1222781594727 1572147764649 3668344784181 11005034352543