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29874407561 is a prime number
BaseRepresentation
bin11011110100101001…
…110100100010001001
32212002222222010221022
4123310221310202021
5442140322020221
621420224122225
72105213163065
oct336451644211
985088863838
1029874407561
1111740362629
125958a66375
132a8136084b
1416358b4aa5
15b9cabb4ab
hex6f4a74889

29874407561 has 2 divisors, whose sum is σ = 29874407562. Its totient is φ = 29874407560.

The previous prime is 29874407539. The next prime is 29874407587. The reversal of 29874407561 is 16570447892.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29797319161 + 77088400 = 172619^2 + 8780^2 .

It is a cyclic number.

It is not a de Polignac number, because 29874407561 - 214 = 29874391177 is a prime.

It is not a weakly prime, because it can be changed into another prime (29874400561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14937203780 + 14937203781.

It is an arithmetic number, because the mean of its divisors is an integer number (14937203781).

Almost surely, 229874407561 is an apocalyptic number.

It is an amenable number.

29874407561 is a deficient number, since it is larger than the sum of its proper divisors (1).

29874407561 is an equidigital number, since it uses as much as digits as its factorization.

29874407561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3386880, while the sum is 53.

The spelling of 29874407561 in words is "twenty-nine billion, eight hundred seventy-four million, four hundred seven thousand, five hundred sixty-one".