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34461202492417 is a prime number
BaseRepresentation
bin1111101010111100111111…
…01110111010110000000001
311112000110101110020120122111
413311132133232322300001
514004103020314224132
6201143131411135321
710154511503040001
oct765363756726001
9145013343216574
1034461202492417
11aa86a06450468
123a4698aba4541
13162c8a648ac6c
14871d06d20001
153eb63575e647
hex1f579fbbac01

34461202492417 has 2 divisors, whose sum is σ = 34461202492418. Its totient is φ = 34461202492416.

The previous prime is 34461202492403. The next prime is 34461202492433. The reversal of 34461202492417 is 71429420216443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32237140306176 + 2224062186241 = 5677776^2 + 1491329^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34461202492417 is a prime.

It is not a weakly prime, because it can be changed into another prime (34461200492417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17230601246208 + 17230601246209.

It is an arithmetic number, because the mean of its divisors is an integer number (17230601246209).

Almost surely, 234461202492417 is an apocalyptic number.

It is an amenable number.

34461202492417 is a deficient number, since it is larger than the sum of its proper divisors (1).

34461202492417 is an equidigital number, since it uses as much as digits as its factorization.

34461202492417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2322432, while the sum is 49.

The spelling of 34461202492417 in words is "thirty-four trillion, four hundred sixty-one billion, two hundred two million, four hundred ninety-two thousand, four hundred seventeen".