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34091777581 is a prime number
BaseRepresentation
bin11111110000000001…
…110011111000101101
310020222220200201222221
4133300001303320231
51024304443340311
623354521035341
72314553220361
oct376001637055
9106886621887
1034091777581
1113504a130a4
126735325b51
1332a400b874
141915a4d2a1
15d47e7c671
hex7f0073e2d

34091777581 has 2 divisors, whose sum is σ = 34091777582. Its totient is φ = 34091777580.

The previous prime is 34091777569. The next prime is 34091777633. The reversal of 34091777581 is 18577719043.

It is an a-pointer prime, because the next prime (34091777633) can be obtained adding 34091777581 to its sum of digits (52).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33990453225 + 101324356 = 184365^2 + 10066^2 .

It is a cyclic number.

It is not a de Polignac number, because 34091777581 - 25 = 34091777549 is a prime.

It is a super-2 number, since 2×340917775812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34091777561) 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, 17045888790 + 17045888791.

It is an arithmetic number, because the mean of its divisors is an integer number (17045888791).

Almost surely, 234091777581 is an apocalyptic number.

It is an amenable number.

34091777581 is a deficient number, since it is larger than the sum of its proper divisors (1).

34091777581 is an equidigital number, since it uses as much as digits as its factorization.

34091777581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1481760, while the sum is 52.

The spelling of 34091777581 in words is "thirty-four billion, ninety-one million, seven hundred seventy-seven thousand, five hundred eighty-one".