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34064443661 is a prime number
BaseRepresentation
bin11111101110011001…
…100010100100001101
310020221000021000220112
4133232121202210031
51024230444144121
623352103125405
72314101664553
oct375631424415
9106830230815
1034064443661
11134a0543786
126728143865
13329b45b251
141912175bd3
15d4587d75b
hex7ee66290d

34064443661 has 2 divisors, whose sum is σ = 34064443662. Its totient is φ = 34064443660.

The previous prime is 34064443613. The next prime is 34064443669. The reversal of 34064443661 is 16634446043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21865241161 + 12199202500 = 147869^2 + 110450^2 .

It is a cyclic number.

It is not a de Polignac number, because 34064443661 - 26 = 34064443597 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34064443669) 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, 17032221830 + 17032221831.

It is an arithmetic number, because the mean of its divisors is an integer number (17032221831).

Almost surely, 234064443661 is an apocalyptic number.

It is an amenable number.

34064443661 is a deficient number, since it is larger than the sum of its proper divisors (1).

34064443661 is an equidigital number, since it uses as much as digits as its factorization.

34064443661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 497664, while the sum is 41.

The spelling of 34064443661 in words is "thirty-four billion, sixty-four million, four hundred forty-three thousand, six hundred sixty-one".