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34541256653 is a prime number
BaseRepresentation
bin100000001010110100…
…011011111111001101
310022011020110122100222
4200022310123333031
51031220030203103
623511255001125
72331651560111
oct401264337715
9108136418328
1034541256653
1113715703402
12683b9691a5
133346185407
141959613741
15d72666638
hex80ad1bfcd

34541256653 has 2 divisors, whose sum is σ = 34541256654. Its totient is φ = 34541256652.

The previous prime is 34541256643. The next prime is 34541256661. The reversal of 34541256653 is 35665214543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34535390569 + 5866084 = 185837^2 + 2422^2 .

It is a cyclic number.

It is not a de Polignac number, because 34541256653 - 220 = 34540208077 is a prime.

It is a super-3 number, since 3×345412566533 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34541256643) 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, 17270628326 + 17270628327.

It is an arithmetic number, because the mean of its divisors is an integer number (17270628327).

Almost surely, 234541256653 is an apocalyptic number.

It is an amenable number.

34541256653 is a deficient number, since it is larger than the sum of its proper divisors (1).

34541256653 is an equidigital number, since it uses as much as digits as its factorization.

34541256653 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296000, while the sum is 44.

The spelling of 34541256653 in words is "thirty-four billion, five hundred forty-one million, two hundred fifty-six thousand, six hundred fifty-three".