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34135686751 is a prime number
BaseRepresentation
bin11111110010101001…
…010011111001011111
310021002222022120001111
4133302221103321133
51024402213434001
623403130122451
72315625356425
oct376251237137
9107088276044
1034135686751
1113527783771
126747b80427
1332b014381a
14191b7dd115
15d4bc52851
hex7f2a53e5f

34135686751 has 2 divisors, whose sum is σ = 34135686752. Its totient is φ = 34135686750.

The previous prime is 34135686721. The next prime is 34135686841. The reversal of 34135686751 is 15768653143.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 34135686751 - 233 = 25545752159 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34135686695 and 34135686704.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34135686701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17067843375 + 17067843376.

It is an arithmetic number, because the mean of its divisors is an integer number (17067843376).

Almost surely, 234135686751 is an apocalyptic number.

34135686751 is a deficient number, since it is larger than the sum of its proper divisors (1).

34135686751 is an equidigital number, since it uses as much as digits as its factorization.

34135686751 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1814400, while the sum is 49.

The spelling of 34135686751 in words is "thirty-four billion, one hundred thirty-five million, six hundred eighty-six thousand, seven hundred fifty-one".