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12042643311 = 3217893732371
BaseRepresentation
bin10110011011100110…
…00010011101101111
31011002021100122222100
423031303002131233
5144130404041221
65310551350143
7604266531156
oct131563023557
934067318870
1012042643311
11511a838186
122401082353
13119bc4555a
1482355c59d
154a7395926
hex2cdcc276f

12042643311 has 48 divisors (see below), whose sum is σ = 18682915680. Its totient is φ = 7448094720.

The previous prime is 12042643303. The next prime is 12042643313. The reversal of 12042643311 is 11334624021.

It is a happy number.

12042643311 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 2 + 643 + 3 + 11 = 666.

It is not a de Polignac number, because 12042643311 - 23 = 12042643303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042643313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5077956 + ... + 5080326.

It is an arithmetic number, because the mean of its divisors is an integer number (389227410).

Almost surely, 212042643311 is an apocalyptic number.

12042643311 is a deficient number, since it is larger than the sum of its proper divisors (6640272369).

12042643311 is a wasteful number, since it uses less digits than its factorization.

12042643311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 12042643311 in words is "twelve billion, forty-two million, six hundred forty-three thousand, three hundred eleven".

Divisors: 1 3 9 17 51 89 153 267 373 801 1119 1513 2371 3357 4539 6341 7113 13617 19023 21339 33197 40307 57069 99591 120921 211019 298773 362763 564349 633057 884383 1693047 1899171 2653149 3587323 5079141 7959447 10761969 15034511 32285907 45103533 78710087 135310599 236130261 708390783 1338071479 4014214437 12042643311