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34226174977 is a prime number
BaseRepresentation
bin11111111000000010…
…011111110000000001
310021100021120211120021
4133320002133300001
51030043400044402
623420121413441
72321104454461
oct377002376001
9107307524507
1034226174977
1113573868925
12677233a281
1332c5b06a57
141929835ba1
15d54b78d37
hex7f809fc01

34226174977 has 2 divisors, whose sum is σ = 34226174978. Its totient is φ = 34226174976.

The previous prime is 34226174963. The next prime is 34226174981. The reversal of 34226174977 is 77947162243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28229376256 + 5996798721 = 168016^2 + 77439^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34226174977 is a prime.

It is not a weakly prime, because it can be changed into another prime (34226174377) 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, 17113087488 + 17113087489.

It is an arithmetic number, because the mean of its divisors is an integer number (17113087489).

Almost surely, 234226174977 is an apocalyptic number.

It is an amenable number.

34226174977 is a deficient number, since it is larger than the sum of its proper divisors (1).

34226174977 is an equidigital number, since it uses as much as digits as its factorization.

34226174977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3556224, while the sum is 52.

The spelling of 34226174977 in words is "thirty-four billion, two hundred twenty-six million, one hundred seventy-four thousand, nine hundred seventy-seven".