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12264353543 = 1310113676833
BaseRepresentation
bin10110110110000001…
…10010111100000111
31011122201112201020102
423123000302330013
5200104133303133
65344551354315
7612631166531
oct133300627407
934581481212
1012264353543
1152239a9382
12246338299b
131205b61540
14844b92851
154bba8c7e8
hex2db032f07

12264353543 has 16 divisors (see below), whose sum is σ = 13350246336. Its totient is φ = 11199014400.

The previous prime is 12264353509. The next prime is 12264353611. The reversal of 12264353543 is 34535346221.

12264353543 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12264353543 - 222 = 12260159239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12264353497 and 12264353506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12264353443) 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 15 ways as a sum of consecutive naturals, for example, 1791455 + ... + 1798287.

It is an arithmetic number, because the mean of its divisors is an integer number (834390396).

Almost surely, 212264353543 is an apocalyptic number.

12264353543 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12264353543 is a deficient number, since it is larger than the sum of its proper divisors (1085892793).

12264353543 is a wasteful number, since it uses less digits than its factorization.

12264353543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8314.

The product of its digits is 259200, while the sum is 38.

Adding to 12264353543 its reverse (34535346221), we get a palindrome (46799699764).

The spelling of 12264353543 in words is "twelve billion, two hundred sixty-four million, three hundred fifty-three thousand, five hundred forty-three".

Divisors: 1 13 101 1313 1367 6833 17771 88829 138067 690133 1794871 8971729 9340711 121429243 943411811 12264353543