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34294787487049 is a prime number
BaseRepresentation
bin1111100110000111000001…
…01000000011010101001001
311111102112211201001101122011
413303003200220003111021
513443341211044041144
6200534450300055521
710136500542606145
oct763034050032511
9144375751041564
1034294787487049
11aa22379522881
123a1a686b345a1
131619ca518c09b
14867c3b44c225
153e7145a0ea34
hex1f30e0a03549

34294787487049 has 2 divisors, whose sum is σ = 34294787487050. Its totient is φ = 34294787487048.

The previous prime is 34294787487043. The next prime is 34294787487101. The reversal of 34294787487049 is 94078478749243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22251409779600 + 12043377707449 = 4717140^2 + 3470357^2 .

It is a cyclic number.

It is not a de Polignac number, because 34294787487049 - 213 = 34294787478857 is a prime.

It is a super-2 number, since 2×342947874870492 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34294787487043) 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, 17147393743524 + 17147393743525.

It is an arithmetic number, because the mean of its divisors is an integer number (17147393743525).

Almost surely, 234294787487049 is an apocalyptic number.

It is an amenable number.

34294787487049 is a deficient number, since it is larger than the sum of its proper divisors (1).

34294787487049 is an equidigital number, since it uses as much as digits as its factorization.

34294787487049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2731180032, while the sum is 76.

The spelling of 34294787487049 in words is "thirty-four trillion, two hundred ninety-four billion, seven hundred eighty-seven million, four hundred eighty-seven thousand, forty-nine".