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20188110329856 = 211327192433429
BaseRepresentation
bin1001001011100011010010…
…01001010001100000000000
32122110222001010020100220200
410211301221021101200000
510121230222221023411
6110534142335205200
74152354123316350
oct445615111214000
978428033210820
1020188110329856
116483802a84067
122320711376800
13b3596628a921
144db177240b60
152502145cee56
hex125c69251800

20188110329856 has 432 divisors, whose sum is σ = 70328473160400. Its totient is φ = 5464438308864.

The previous prime is 20188110329791. The next prime is 20188110329861. The reversal of 20188110329856 is 65892301188102.

20188110329856 is a `hidden beast` number, since 20 + 188 + 1 + 103 + 298 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46360950 + ... + 46794378.

It is an arithmetic number, because the mean of its divisors is an integer number (162797391575).

Almost surely, 220188110329856 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 20188110329856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35164236580200).

20188110329856 is an abundant number, since it is smaller than the sum of its proper divisors (50140362830544).

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

20188110329856 is a wasteful number, since it uses less digits than its factorization.

20188110329856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433502 (or 433460 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 20188110329856 in words is "twenty trillion, one hundred eighty-eight billion, one hundred ten million, three hundred twenty-nine thousand, eight hundred fifty-six".