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11834522543811 = 3111967397709607
BaseRepresentation
bin1010110000110111000010…
…0000110010011011000011
31112220100222020001100110210
42230031300200302123003
53022344100232400221
641100412105525203
72331005333600202
oct254156040623303
945810866040423
1011834522543811
113852aa14a5850
1213b17397a3803
1367acb5703536
142ccb1883d239
15157c9a668276
hexac3708326c3

11834522543811 has 64 divisors (see below), whose sum is σ = 18436637675520. Its totient is φ = 6676654469760.

The previous prime is 11834522543783. The next prime is 11834522543843.

11834522543811 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11834522543811 - 26 = 11834522543747 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11834522543411) 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 63 ways as a sum of consecutive naturals, for example, 16322770 + ... + 17032376.

It is an arithmetic number, because the mean of its divisors is an integer number (288072463680).

Almost surely, 211834522543811 is an apocalyptic number.

11834522543811 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11834522543811 is a deficient number, since it is larger than the sum of its proper divisors (6602115131709).

11834522543811 is a wasteful number, since it uses less digits than its factorization.

11834522543811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710104.

The product of its digits is 921600, while the sum is 48.

The spelling of 11834522543811 in words is "eleven trillion, eight hundred thirty-four billion, five hundred twenty-two million, five hundred forty-three thousand, eight hundred eleven".

Divisors: 1 3 11 19 33 57 67 201 209 397 627 737 1191 1273 2211 3819 4367 7543 13101 14003 22629 26599 42009 79797 82973 248919 292589 505381 709607 877767 1516143 2128821 5559191 7805677 13482533 16677573 23417031 40447599 47543669 142631007 148307863 281713979 444923589 522980359 845141937 903329711 1568941077 2709989133 3098853769 5352565601 9296561307 9936626821 16057696803 18874836593 29809880463 56624509779 58878221611 176634664833 207623202523 358621895267 622869607569 1075865685801 3944840847937 11834522543811