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12404243232 = 2533113127051
BaseRepresentation
bin10111000110101100…
…11011101100100000
31012000110202211211000
423203112123230200
5200400441240412
65410505552000
7616250220303
oct134326335440
935013684730
1012404243232
115295965597
1224a21a5600
131228b305c4
148595a8b3a
154c8ec14dc
hex2e359bb20

12404243232 has 96 divisors (see below), whose sum is σ = 36499498560. Its totient is φ = 4098124800.

The previous prime is 12404243231. The next prime is 12404243237. The reversal of 12404243232 is 23234240421.

12404243232 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 424 + 3 + 232 = 666.

12404243232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12404243196 and 12404243205.

It is not an unprimeable number, because it can be changed into a prime (12404243231) 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, 34107 + ... + 161157.

It is an arithmetic number, because the mean of its divisors is an integer number (380203110).

Almost surely, 212404243232 is an apocalyptic number.

12404243232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12404243232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18249749280).

12404243232 is an abundant number, since it is smaller than the sum of its proper divisors (24095255328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12404243232 is a wasteful number, since it uses less digits than its factorization.

12404243232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127183 (or 127169 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12404243232 its reverse (23234240421), we get a palindrome (35638483653).

The spelling of 12404243232 in words is "twelve billion, four hundred four million, two hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 113 144 216 226 288 339 432 452 678 864 904 1017 1356 1808 2034 2712 3051 3616 4068 5424 6102 8136 10848 12204 16272 24408 32544 48816 97632 127051 254102 381153 508204 762306 1016408 1143459 1524612 2032816 2286918 3049224 3430377 4065632 4573836 6098448 6860754 9147672 12196896 13721508 14356763 18295344 27443016 28713526 36590688 43070289 54886032 57427052 86140578 109772064 114854104 129210867 172281156 229708208 258421734 344562312 387632601 459416416 516843468 689124624 775265202 1033686936 1378249248 1550530404 2067373872 3101060808 4134747744 6202121616 12404243232