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11686823841 = 372112798317
BaseRepresentation
bin10101110001001011…
…01100011110100001
31010011110211011102110
422320211230132201
5142413311330331
65211401105533
7562416235500
oct127045543641
933143734373
1011686823841
114a579a8800
122321a882a9
1311433025a4
147cc1b8837
1548600c946
hex2b896c7a1

11686823841 has 72 divisors (see below), whose sum is σ = 20178802560. Its totient is φ = 5993507520.

The previous prime is 11686823809. The next prime is 11686823851. The reversal of 11686823841 is 14832868611.

11686823841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11686823841 - 25 = 11686823809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11686823851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1401015 + ... + 1409331.

Almost surely, 211686823841 is an apocalyptic number.

11686823841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11686823841 is a deficient number, since it is larger than the sum of its proper divisors (8491978719).

11686823841 is a wasteful number, since it uses less digits than its factorization.

11686823841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8435 (or 8417 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The spelling of 11686823841 in words is "eleven billion, six hundred eighty-six million, eight hundred twenty-three thousand, eight hundred forty-one".

Divisors: 1 3 7 11 21 33 49 77 79 121 147 231 237 363 539 553 847 869 1617 1659 2541 2607 3871 5929 6083 8317 9559 11613 17787 18249 24951 28677 42581 58219 66913 91487 127743 174657 200739 274461 407533 468391 640409 657043 1006357 1222599 1405173 1921227 1971129 3019071 4482863 4599301 7044499 7227473 13448589 13797903 21133497 21682419 32195107 49311493 50592311 79502203 96585321 147934479 151776933 238506609 354146177 556515421 1062438531 1669546263 3895607947 11686823841