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14163166656 = 2633193789131
BaseRepresentation
bin11010011000011000…
…01100010111000000
31100120001111102011000
431030030030113000
5213001232313111
610301221452000
71010655634032
oct151414142700
940501442130
1014163166656
116008813811
1228b3271000
13144936aab2
1498502bc52
1557d613c56
hex34c30c5c0

14163166656 has 448 divisors, whose sum is σ = 45866304000. Its totient is φ = 4269957120.

The previous prime is 14163166651. The next prime is 14163166687. The reversal of 14163166656 is 65666136141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14163166651) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 108115711 + ... + 108115841.

Almost surely, 214163166656 is an apocalyptic number.

14163166656 is a gapful number since it is divisible by the number (16) 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 14163166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22933152000).

14163166656 is an abundant number, since it is smaller than the sum of its proper divisors (31703137344).

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

14163166656 is a wasteful number, since it uses less digits than its factorization.

14163166656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 14163166656 in words is "fourteen billion, one hundred sixty-three million, one hundred sixty-six thousand, six hundred fifty-six".