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188414473104 = 24321113193371429
BaseRepresentation
bin1010111101111001100…
…0001011001110010000
3200000022221001221100200
42233132120023032100
511041333101114404
6222320104015200
716420041411444
oct2573630131620
9600287057320
10188414473104
11729a7070390
1230623761500
13149c8cc5810
149195554824
154d7b2c5839
hex2bde60b390

188414473104 has 480 divisors, whose sum is σ = 654481027200. Its totient is φ = 49746493440.

The previous prime is 188414473103. The next prime is 188414473111. The reversal of 188414473104 is 401374414881.

188414473104 is a `hidden beast` number, since 188 + 414 + 47 + 3 + 10 + 4 = 666.

188414473104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 188414473104.

It is not an unprimeable number, because it can be changed into a prime (188414473103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131849862 + ... + 131851290.

It is an arithmetic number, because the mean of its divisors is an integer number (1363502140).

Almost surely, 2188414473104 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 188414473104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327240513600).

188414473104 is an abundant number, since it is smaller than the sum of its proper divisors (466066554096).

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

188414473104 is a wasteful number, since it uses less digits than its factorization.

188414473104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

Adding to 188414473104 its reverse (401374414881), we get a palindrome (589788887985).

The spelling of 188414473104 in words is "one hundred eighty-eight billion, four hundred fourteen million, four hundred seventy-three thousand, one hundred four".