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34518852041 is a prime number
BaseRepresentation
bin100000001001011110…
…111110000111001001
310022002200022101000112
4200021132332013021
51031143311231131
623505134444105
72331260254412
oct401136760711
9108080271015
1034518852041
1113703aa04a3
126834363635
13334163c64b
141956660809
15d706dd02b
hex8097be1c9

34518852041 has 2 divisors, whose sum is σ = 34518852042. Its totient is φ = 34518852040.

The previous prime is 34518852037. The next prime is 34518852059. The reversal of 34518852041 is 14025881543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30149113225 + 4369738816 = 173635^2 + 66104^2 .

It is an emirp because it is prime and its reverse (14025881543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34518852041 - 22 = 34518852037 is a prime.

It is a super-2 number, since 2×345188520412 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34518852041.

It is not a weakly prime, because it can be changed into another prime (34518852941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17259426020 + 17259426021.

It is an arithmetic number, because the mean of its divisors is an integer number (17259426021).

Almost surely, 234518852041 is an apocalyptic number.

It is an amenable number.

34518852041 is a deficient number, since it is larger than the sum of its proper divisors (1).

34518852041 is an equidigital number, since it uses as much as digits as its factorization.

34518852041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 153600, while the sum is 41.

The spelling of 34518852041 in words is "thirty-four billion, five hundred eighteen million, eight hundred fifty-two thousand, forty-one".