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34364191681 is a prime number
BaseRepresentation
bin100000000000010000…
…111111001111000001
310021200220021210220001
4200000100333033001
51030334213113211
623441531520001
72324401544521
oct400020771701
9107626253801
1034364191681
1113634765916
1267b05b9001
13331859b441
14193dcc1681
15d61d3cac1
hex80043f3c1

34364191681 has 2 divisors, whose sum is σ = 34364191682. Its totient is φ = 34364191680.

The previous prime is 34364191643. The next prime is 34364191709. The reversal of 34364191681 is 18619146343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33138561600 + 1225630081 = 182040^2 + 35009^2 .

It is a cyclic number.

It is not a de Polignac number, because 34364191681 - 211 = 34364189633 is a prime.

It is a super-2 number, since 2×343641916812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34364198681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17182095840 + 17182095841.

It is an arithmetic number, because the mean of its divisors is an integer number (17182095841).

Almost surely, 234364191681 is an apocalyptic number.

It is an amenable number.

34364191681 is a deficient number, since it is larger than the sum of its proper divisors (1).

34364191681 is an equidigital number, since it uses as much as digits as its factorization.

34364191681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 373248, while the sum is 46.

The spelling of 34364191681 in words is "thirty-four billion, three hundred sixty-four million, one hundred ninety-one thousand, six hundred eighty-one".