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2082944050110 = 2335711102198129
BaseRepresentation
bin11110010011111001001…
…000111110001110111110
321101010102221201011111000
4132103321020332032332
5233111332134100420
64232520303511130
7303326203204110
oct36237110761676
97333387634430
102082944050110
1173340a683330
122978318b84a6
131215615c1071
1472b5a6293b0
15392aeb8c690
hex1e4f923e3be

2082944050110 has 256 divisors, whose sum is σ = 6931966003200. Its totient is φ = 432391219200.

The previous prime is 2082944050093. The next prime is 2082944050127. The reversal of 2082944050110 is 110504492802.

2082944050110 is a `hidden beast` number, since 20 + 8 + 2 + 94 + 40 + 501 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2082944050093) and next prime (2082944050127).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21177526 + ... + 21275654.

It is an arithmetic number, because the mean of its divisors is an integer number (27077992200).

Almost surely, 22082944050110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082944050110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465983001600).

2082944050110 is an abundant number, since it is smaller than the sum of its proper divisors (4849021953090).

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

2082944050110 is a wasteful number, since it uses less digits than its factorization.

2082944050110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99184 (or 99178 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 2082944050110 in words is "two trillion, eighty-two billion, nine hundred forty-four million, fifty thousand, one hundred ten".