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34636811681 is a prime number
BaseRepresentation
bin100000010000100000…
…111100110110100001
310022101220021100020002
4200100200330312201
51031414010433211
623524551025345
72334222020153
oct402040746641
9108356240202
1034636811681
11137646392aa
12686796b255
13335cc00954
1419681a8ad3
15d7ac3e03b
hex81083cda1

34636811681 has 2 divisors, whose sum is σ = 34636811682. Its totient is φ = 34636811680.

The previous prime is 34636811611. The next prime is 34636811719. The reversal of 34636811681 is 18611863643.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22224846400 + 12411965281 = 149080^2 + 111409^2 .

It is a cyclic number.

It is not a de Polignac number, because 34636811681 - 222 = 34632617377 is a prime.

It is a super-2 number, since 2×346368116812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34636811611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17318405840 + 17318405841.

It is an arithmetic number, because the mean of its divisors is an integer number (17318405841).

Almost surely, 234636811681 is an apocalyptic number.

It is an amenable number.

34636811681 is a deficient number, since it is larger than the sum of its proper divisors (1).

34636811681 is an equidigital number, since it uses as much as digits as its factorization.

34636811681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 497664, while the sum is 47.

The spelling of 34636811681 in words is "thirty-four billion, six hundred thirty-six million, eight hundred eleven thousand, six hundred eighty-one".