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249898000841 is a prime number
BaseRepresentation
bin1110100010111100010…
…1001110000111001001
3212220000211011202120122
43220233011032013021
513043242342011331
6310445045233025
724024463650056
oct3505705160711
9786024152518
10249898000841
1196a879a7825
1240522402775
131a746bc8468
14c14906002d
156778dbc17b
hex3a2f14e1c9

249898000841 has 2 divisors, whose sum is σ = 249898000842. Its totient is φ = 249898000840.

The previous prime is 249898000799. The next prime is 249898000853. The reversal of 249898000841 is 148000898942.

It is a happy number.

249898000841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 244554975625 + 5343025216 = 494525^2 + 73096^2 .

It is a cyclic number.

It is not a de Polignac number, because 249898000841 - 222 = 249893806537 is a prime.

It is not a weakly prime, because it can be changed into another prime (249898000861) 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, 124949000420 + 124949000421.

It is an arithmetic number, because the mean of its divisors is an integer number (124949000421).

Almost surely, 2249898000841 is an apocalyptic number.

It is an amenable number.

249898000841 is a deficient number, since it is larger than the sum of its proper divisors (1).

249898000841 is an equidigital number, since it uses as much as digits as its factorization.

249898000841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1327104, while the sum is 53.

The spelling of 249898000841 in words is "two hundred forty-nine billion, eight hundred ninety-eight million, eight hundred forty-one", and thus it is an aban number.