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34742616481 is a prime number
BaseRepresentation
bin100000010110110100…
…100100000110100001
310022200021100210010101
4200112310210012201
51032123102211411
623543250502401
72336645240026
oct402664440641
9108607323111
1034742616481
1113809334a91
126897294a01
133378ac7641
14197826b54d
15d8518d8c1
hex816d241a1

34742616481 has 2 divisors, whose sum is σ = 34742616482. Its totient is φ = 34742616480.

The previous prime is 34742616437. The next prime is 34742616487. The reversal of 34742616481 is 18461624743.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23876430400 + 10866186081 = 154520^2 + 104241^2 .

It is a cyclic number.

It is not a de Polignac number, because 34742616481 - 27 = 34742616353 is a prime.

It is a super-2 number, since 2×347426164812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34742616487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17371308240 + 17371308241.

It is an arithmetic number, because the mean of its divisors is an integer number (17371308241).

Almost surely, 234742616481 is an apocalyptic number.

It is an amenable number.

34742616481 is a deficient number, since it is larger than the sum of its proper divisors (1).

34742616481 is an equidigital number, since it uses as much as digits as its factorization.

34742616481 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 774144, while the sum is 46.

The spelling of 34742616481 in words is "thirty-four billion, seven hundred forty-two million, six hundred sixteen thousand, four hundred eighty-one".