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12168834048 = 210327226947
BaseRepresentation
bin10110101010101000…
…11010110000000000
31011102001210211010100
423111110122300000
5144410210142143
65331300202400
7610361245200
oct132524326000
934361724110
1012168834048
115184a98148
122437399400
1311bc129227
1483620a400
154b34c06d3
hex2d551ac00

12168834048 has 198 divisors, whose sum is σ = 40875453996. Its totient is φ = 3476680704.

The previous prime is 12168834001. The next prime is 12168834113. The reversal of 12168834048 is 84043886121.

12168834048 is a `hidden beast` number, since 1 + 2 + 168 + 83 + 404 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12168833994 and 12168834012.

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 17 ways as a sum of consecutive naturals, for example, 438111 + ... + 465057.

Almost surely, 212168834048 is an apocalyptic number.

12168834048 is a gapful number since it is divisible by the number (18) 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 12168834048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20437726998).

12168834048 is an abundant number, since it is smaller than the sum of its proper divisors (28706619948).

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

12168834048 is a wasteful number, since it uses less digits than its factorization.

12168834048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26987 (or 26959 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 12168834048 in words is "twelve billion, one hundred sixty-eight million, eight hundred thirty-four thousand, forty-eight".