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35664535681 is a prime number
BaseRepresentation
bin100001001101110001…
…011010000010000001
310102001112010010111221
4201031301122002001
51041020110120211
624214542435041
72401541360065
oct411561320201
9112045103457
1035664535681
1114141778585
126ab3b92a81
133494ac6b68
141a24891aa5
15ddb099c71
hex84dc5a081

35664535681 has 2 divisors, whose sum is σ = 35664535682. Its totient is φ = 35664535680.

The previous prime is 35664535667. The next prime is 35664535729. The reversal of 35664535681 is 18653546653.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22534813456 + 13129722225 = 150116^2 + 114585^2 .

It is a cyclic number.

It is not a de Polignac number, because 35664535681 - 25 = 35664535649 is a prime.

It is a super-2 number, since 2×356645356812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (35664535661) 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, 17832267840 + 17832267841.

It is an arithmetic number, because the mean of its divisors is an integer number (17832267841).

Almost surely, 235664535681 is an apocalyptic number.

It is an amenable number.

35664535681 is a deficient number, since it is larger than the sum of its proper divisors (1).

35664535681 is an equidigital number, since it uses as much as digits as its factorization.

35664535681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776000, while the sum is 52.

The spelling of 35664535681 in words is "thirty-five billion, six hundred sixty-four million, five hundred thirty-five thousand, six hundred eighty-one".