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188044142112 = 2533436477823
BaseRepresentation
bin1010111100100001001…
…1011110011000100000
3122222101010020011202000
42233020103132120200
511040103300021422
6222215234324000
716404623556321
oct2571023363040
9588333204660
10188044142112
117282701a212
123053b729600
131496a371658
14915c2b4448
154d58a22cac
hex2bc84de620

188044142112 has 192 divisors, whose sum is σ = 562156277760. Its totient is φ = 61121233152.

The previous prime is 188044142029. The next prime is 188044142113. The reversal of 188044142112 is 211241440881.

It is a happy number.

188044142112 is a `hidden beast` number, since 188 + 0 + 4 + 41 + 421 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (188044142113) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 24033433 + ... + 24041255.

It is an arithmetic number, because the mean of its divisors is an integer number (2927897280).

Almost surely, 2188044142112 is an apocalyptic number.

188044142112 is a gapful number since it is divisible by the number (12) 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 188044142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281078138880).

188044142112 is an abundant number, since it is smaller than the sum of its proper divisors (374112135648).

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

188044142112 is a wasteful number, since it uses less digits than its factorization.

188044142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8532 (or 8518 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

Adding to 188044142112 its reverse (211241440881), we get a palindrome (399285582993).

The spelling of 188044142112 in words is "one hundred eighty-eight billion, forty-four million, one hundred forty-two thousand, one hundred twelve".