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2829383010089 is a prime number
BaseRepresentation
bin101001001011000100010…
…111101000011100101001
3101000111010120022011021122
4221023010113220130221
5332324034022310324
610003444533145025
7411262514525366
oct51130427503451
911014116264248
102829383010089
119a0a30a46999
1239842a78b175
13176a6ab0bc3c
149ad2b33346d
154d8eab71a5e
hex292c45e8729

2829383010089 has 2 divisors, whose sum is σ = 2829383010090. Its totient is φ = 2829383010088.

The previous prime is 2829383010079. The next prime is 2829383010143. The reversal of 2829383010089 is 9800103839282.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2417039230489 + 412343779600 = 1554683^2 + 642140^2 .

It is a cyclic number.

It is not a de Polignac number, because 2829383010089 - 220 = 2829381961513 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2829383010089.

It is not a weakly prime, because it can be changed into another prime (2829383010079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1414691505044 + 1414691505045.

It is an arithmetic number, because the mean of its divisors is an integer number (1414691505045).

Almost surely, 22829383010089 is an apocalyptic number.

It is an amenable number.

2829383010089 is a deficient number, since it is larger than the sum of its proper divisors (1).

2829383010089 is an equidigital number, since it uses as much as digits as its factorization.

2829383010089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1492992, while the sum is 53.

The spelling of 2829383010089 in words is "two trillion, eight hundred twenty-nine billion, three hundred eighty-three million, ten thousand, eighty-nine".