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34437065713 is a prime number
BaseRepresentation
bin100000000100100110…
…111110101111110001
310021212222102012021021
4200010212332233301
51031011342100323
623453053455441
72326245141331
oct400446765761
9107788365237
1034437065713
111367190a196
126810aa1581
13332a70517b
1419498510c1
15d6843505d
hex8049bebf1

34437065713 has 2 divisors, whose sum is σ = 34437065714. Its totient is φ = 34437065712.

The previous prime is 34437065701. The next prime is 34437065723. The reversal of 34437065713 is 31756073443.

It is a happy number.

34437065713 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., 34039143009 + 397922704 = 184497^2 + 19948^2 .

It is a cyclic number.

It is not a de Polignac number, because 34437065713 - 25 = 34437065681 is a prime.

It is a super-2 number, since 2×344370657132 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34437065713.

It is not a weakly prime, because it can be changed into another prime (34437065723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17218532856 + 17218532857.

It is an arithmetic number, because the mean of its divisors is an integer number (17218532857).

Almost surely, 234437065713 is an apocalyptic number.

It is an amenable number.

34437065713 is a deficient number, since it is larger than the sum of its proper divisors (1).

34437065713 is an equidigital number, since it uses as much as digits as its factorization.

34437065713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 635040, while the sum is 43.

The spelling of 34437065713 in words is "thirty-four billion, four hundred thirty-seven million, sixty-five thousand, seven hundred thirteen".