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12923562168 = 233211373131409
BaseRepresentation
bin11000000100100110…
…11110100010111000
31020100122221222110200
430002103132202320
5202431412442133
65534220442200
7635154315546
oct140223364270
936318858420
1012923562168
1155320175a0
1226080a9360
1312ac5bab0a
148a854cd96
155098a3913
hex3024de8b8

12923562168 has 192 divisors, whose sum is σ = 39368440800. Its totient is φ = 3795517440.

The previous prime is 12923562167. The next prime is 12923562173. The reversal of 12923562168 is 86126532921.

12923562168 is a `hidden beast` number, since 1 + 2 + 9 + 23 + 562 + 1 + 68 = 666.

It is a super-2 number, since 2×129235621682 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12923562167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9171448 + ... + 9172856.

Almost surely, 212923562168 is an apocalyptic number.

12923562168 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 12923562168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19684220400).

12923562168 is an abundant number, since it is smaller than the sum of its proper divisors (26444878632).

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

12923562168 is a wasteful number, since it uses less digits than its factorization.

12923562168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1775 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 12923562168 in words is "twelve billion, nine hundred twenty-three million, five hundred sixty-two thousand, one hundred sixty-eight".