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34437056681 is a prime number
BaseRepresentation
bin100000000100100110…
…111100100010101001
310021212222101201212202
4200010212330202221
51031011341303211
623453053345545
72326245103106
oct400446744251
9107788351782
1034437056681
1113671903425
126810a982b5
13332a701021
14194984baad
15d6843253b
hex8049bc8a9

34437056681 has 2 divisors, whose sum is σ = 34437056682. Its totient is φ = 34437056680.

The previous prime is 34437056653. The next prime is 34437056683. The reversal of 34437056681 is 18665073443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19038480400 + 15398576281 = 137980^2 + 124091^2 .

It is a cyclic number.

It is not a de Polignac number, because 34437056681 - 226 = 34369947817 is a prime.

It is a super-2 number, since 2×344370566812 (a number of 22 digits) contains 22 as substring.

Together with 34437056683, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34437056683) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17218528340 + 17218528341.

It is an arithmetic number, because the mean of its divisors is an integer number (17218528341).

Almost surely, 234437056681 is an apocalyptic number.

It is an amenable number.

34437056681 is a deficient number, since it is larger than the sum of its proper divisors (1).

34437056681 is an equidigital number, since it uses as much as digits as its factorization.

34437056681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 34437056681 in words is "thirty-four billion, four hundred thirty-seven million, fifty-six thousand, six hundred eighty-one".