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12419975168 = 21119131751
BaseRepresentation
bin10111001000100100…
…11100100000000000
31012001120101002222022
423210102130200000
5200414003201133
65412231101012
7616531022066
oct134422344000
935046332868
1012419975168
1152a3830197
1224a7511768
13122c17b143
1485b702036
154ca57c998
hex2e449c800

12419975168 has 48 divisors (see below), whose sum is σ = 24964692480. Its totient is φ = 6177280000.

The previous prime is 12419975159. The next prime is 12419975171. The reversal of 12419975168 is 86157991421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 375293 + ... + 407043.

It is an arithmetic number, because the mean of its divisors is an integer number (520097760).

Almost surely, 212419975168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12419975168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12482346240).

12419975168 is an abundant number, since it is smaller than the sum of its proper divisors (12544717312).

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

12419975168 is an equidigital number, since it uses as much as digits as its factorization.

12419975168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31964 (or 31944 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 53.

The spelling of 12419975168 in words is "twelve billion, four hundred nineteen million, nine hundred seventy-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 191 256 382 512 764 1024 1528 2048 3056 6112 12224 24448 31751 48896 63502 97792 127004 195584 254008 391168 508016 1016032 2032064 4064128 6064441 8128256 12128882 16256512 24257764 32513024 48515528 65026048 97031056 194062112 388124224 776248448 1552496896 3104993792 6209987584 12419975168