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2107930927104 = 2133242736691
BaseRepresentation
bin11110101011001010011…
…110010110000000000000
321110111221022221000220200
4132223022132112000000
5234014020304131404
64252211535205200
7305202331151022
oct36531236260000
97414838830820
102107930927104
11742a720668a2
122a0645976800
13123a141b1392
147404ad58012
1539c7361b839
hex1eaca796000

2107930927104 has 168 divisors, whose sum is σ = 6091541870232. Its totient is φ = 702374215680.

The previous prime is 2107930927097. The next prime is 2107930927129. The reversal of 2107930927104 is 4017290397012.

2107930927104 is a `hidden beast` number, since 2 + 1 + 0 + 79 + 309 + 271 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2107930927104.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 315036399 + ... + 315043089.

It is an arithmetic number, because the mean of its divisors is an integer number (36259177799).

Almost surely, 22107930927104 is an apocalyptic number.

2107930927104 is a gapful number since it is divisible by the number (24) 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 2107930927104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045770935116).

2107930927104 is an abundant number, since it is smaller than the sum of its proper divisors (3983610943128).

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

2107930927104 is an equidigital number, since it uses as much as digits as its factorization.

2107930927104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10996 (or 10969 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 2107930927104 in words is "two trillion, one hundred seven billion, nine hundred thirty million, nine hundred twenty-seven thousand, one hundred four".