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4004442178873 is a prime number
BaseRepresentation
bin111010010001011011010…
…110101000010100111001
3112011211011110102202202121
4322101123112220110321
51011102044144210443
612303340525201241
7562211544622663
oct72213326502471
915154143382677
104004442178873
11130430223a384
12548107700221
13230804208c46
14dbb5d2b7533
156e270e764ed
hex3a45b5a8539

4004442178873 has 2 divisors, whose sum is σ = 4004442178874. Its totient is φ = 4004442178872.

The previous prime is 4004442178871. The next prime is 4004442178937. The reversal of 4004442178873 is 3788712444004.

4004442178873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3695898590784 + 308543588089 = 1922472^2 + 555467^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004442178873 - 21 = 4004442178871 is a prime.

Together with 4004442178871, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 4004442178873.

It is not a weakly prime, because it can be changed into another prime (4004442178871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002221089436 + 2002221089437.

It is an arithmetic number, because the mean of its divisors is an integer number (2002221089437).

Almost surely, 24004442178873 is an apocalyptic number.

It is an amenable number.

4004442178873 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004442178873 is an equidigital number, since it uses as much as digits as its factorization.

4004442178873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4816896, while the sum is 52.

The spelling of 4004442178873 in words is "four trillion, four billion, four hundred forty-two million, one hundred seventy-eight thousand, eight hundred seventy-three".