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34873162349 is a prime number
BaseRepresentation
bin100000011110100110…
…100011101001101101
310100000101000012101112
4200132212203221231
51032410012143344
624004232521405
72343121663154
oct403646435155
9110011005345
1034873162349
1113875a9a033
126912b50265
133399b7470c
14198b73059b
15d91878c9e
hex81e9a3a6d

34873162349 has 2 divisors, whose sum is σ = 34873162350. Its totient is φ = 34873162348.

The previous prime is 34873162297. The next prime is 34873162367. The reversal of 34873162349 is 94326137843.

34873162349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31330770025 + 3542392324 = 177005^2 + 59518^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34873162349 is a prime.

It is a super-2 number, since 2×348731623492 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34873162297 and 34873162306.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34873062349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17436581174 + 17436581175.

It is an arithmetic number, because the mean of its divisors is an integer number (17436581175).

Almost surely, 234873162349 is an apocalyptic number.

It is an amenable number.

34873162349 is a deficient number, since it is larger than the sum of its proper divisors (1).

34873162349 is an equidigital number, since it uses as much as digits as its factorization.

34873162349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2612736, while the sum is 50.

The spelling of 34873162349 in words is "thirty-four billion, eight hundred seventy-three million, one hundred sixty-two thousand, three hundred forty-nine".