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34112821649 is a prime number
BaseRepresentation
bin11111110001010010…
…000101100110010001
310021001101021220000212
4133301102011212101
51024330340243044
623400552053505
72315230125344
oct376122054621
9107041256025
1034112821649
1113515886895
126740394295
1332a849928a
14191876a45b
15d49c37a9e
hex7f1485991

34112821649 has 2 divisors, whose sum is σ = 34112821650. Its totient is φ = 34112821648.

The previous prime is 34112821591. The next prime is 34112821669. The reversal of 34112821649 is 94612821143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19705140625 + 14407681024 = 140375^2 + 120032^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34112821649 is a prime.

It is not a weakly prime, because it can be changed into another prime (34112821669) 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, 17056410824 + 17056410825.

It is an arithmetic number, because the mean of its divisors is an integer number (17056410825).

Almost surely, 234112821649 is an apocalyptic number.

It is an amenable number.

34112821649 is a deficient number, since it is larger than the sum of its proper divisors (1).

34112821649 is an equidigital number, since it uses as much as digits as its factorization.

34112821649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944, while the sum is 41.

The spelling of 34112821649 in words is "thirty-four billion, one hundred twelve million, eight hundred twenty-one thousand, six hundred forty-nine".