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12426236064 = 2532113922423
BaseRepresentation
bin10111001001010100…
…10101000010100000
31012002000011012022100
423210222111002200
5200422104023224
65413013210400
7616635156324
oct134452250240
935060135270
1012426236064
1152a7317090
1224a9630a00
131230560b08
1485c491984
154cadb7ac9
hex2e4a950a0

12426236064 has 72 divisors (see below), whose sum is σ = 38549583072. Its totient is φ = 3765525120.

The previous prime is 12426236057. The next prime is 12426236077. The reversal of 12426236064 is 46063262421.

12426236064 is a `hidden beast` number, since 1 + 2 + 4 + 26 + 23 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×124262360642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1958044 + ... + 1964379.

It is an arithmetic number, because the mean of its divisors is an integer number (535410876).

Almost surely, 212426236064 is an apocalyptic number.

It is an amenable number.

12426236064 is an abundant number, since it is smaller than the sum of its proper divisors (26123347008).

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

12426236064 is a wasteful number, since it uses less digits than its factorization.

12426236064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922450 (or 3922439 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 12426236064 its reverse (46063262421), we get a palindrome (58489498485).

The spelling of 12426236064 in words is "twelve billion, four hundred twenty-six million, two hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 3922423 7844846 11767269 15689692 23534538 31379384 35301807 43146653 47069076 62758768 70603614 86293306 94138152 125517536 129439959 141207228 172586612 188276304 258879918 282414456 345173224 376552608 388319877 517759836 564828912 690346448 776639754 1035519672 1129657824 1380692896 1553279508 2071039344 3106559016 4142078688 6213118032 12426236064