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2258440461889 is a prime number
BaseRepresentation
bin100000110111010101100…
…010101001111001000001
321222220102121011121002221
4200313111202221321001
5244000241224240024
64445302505011041
7322111155120313
oct40672542517101
97886377147087
102258440461889
117a0887843a77
1230584b183a81
13134c7c1a37c1
147b4482637b3
153db31ce93e4
hex20dd58a9e41

2258440461889 has 2 divisors, whose sum is σ = 2258440461890. Its totient is φ = 2258440461888.

The previous prime is 2258440461791. The next prime is 2258440461913. The reversal of 2258440461889 is 9881640448522.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2135786413489 + 122654048400 = 1461433^2 + 350220^2 .

It is a cyclic number.

It is not a de Polignac number, because 2258440461889 - 29 = 2258440461377 is a prime.

It is a super-2 number, since 2×22584404618892 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2258440461089) 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, 1129220230944 + 1129220230945.

It is an arithmetic number, because the mean of its divisors is an integer number (1129220230945).

Almost surely, 22258440461889 is an apocalyptic number.

It is an amenable number.

2258440461889 is a deficient number, since it is larger than the sum of its proper divisors (1).

2258440461889 is an equidigital number, since it uses as much as digits as its factorization.

2258440461889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35389440, while the sum is 61.

The spelling of 2258440461889 in words is "two trillion, two hundred fifty-eight billion, four hundred forty million, four hundred sixty-one thousand, eight hundred eighty-nine".