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14166160200 = 23335221112433
BaseRepresentation
bin11010011000101111…
…00111001101001000
31100120021010111112000
431030113213031020
5213003014111300
610301405551000
71011023242413
oct151427471510
940507114460
1014166160200
11600a478915
1228b4275460
131449b7851a
149855aab7a
1557da05c00
hex34c5e7348

14166160200 has 192 divisors, whose sum is σ = 49029748800. Its totient is φ = 3759436800.

The previous prime is 14166160189. The next prime is 14166160213. The reversal of 14166160200 is 206166141.

14166160200 is a `hidden beast` number, since 1 + 41 + 6 + 616 + 0 + 2 + 0 + 0 = 666.

14166160200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1133184 + ... + 1145616.

It is an arithmetic number, because the mean of its divisors is an integer number (255363275).

Almost surely, 214166160200 is an apocalyptic number.

14166160200 is a gapful number since it is divisible by the number (10) 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 14166160200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24514874400).

14166160200 is an abundant number, since it is smaller than the sum of its proper divisors (34863588600).

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

14166160200 is a wasteful number, since it uses less digits than its factorization.

14166160200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12669 (or 12654 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

It can be divided in two parts, 1416 and 6160200, that added together give a palindrome (6161616).

The spelling of 14166160200 in words is "fourteen billion, one hundred sixty-six million, one hundred sixty thousand, two hundred".