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34374010009 is a prime number
BaseRepresentation
bin100000000000110110…
…011100010010011001
310021201120202122002211
4200000312130102121
51030344221310014
623442522155121
72324551156423
oct400066342231
9107646678084
1034374010009
111363a261539
1267b3952aa1
13331a6283c1
141941319813
15d62b2bcc4
hex800d9c499

34374010009 has 2 divisors, whose sum is σ = 34374010010. Its totient is φ = 34374010008.

The previous prime is 34374009991. The next prime is 34374010051. The reversal of 34374010009 is 90001047343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27754560409 + 6619449600 = 166597^2 + 81360^2 .

It is a cyclic number.

It is not a de Polignac number, because 34374010009 - 27 = 34374009881 is a prime.

It is not a weakly prime, because it can be changed into another prime (34374040009) 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, 17187005004 + 17187005005.

It is an arithmetic number, because the mean of its divisors is an integer number (17187005005).

Almost surely, 234374010009 is an apocalyptic number.

It is an amenable number.

34374010009 is a deficient number, since it is larger than the sum of its proper divisors (1).

34374010009 is an equidigital number, since it uses as much as digits as its factorization.

34374010009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 31.

The spelling of 34374010009 in words is "thirty-four billion, three hundred seventy-four million, ten thousand, nine".