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43657605816113 is a prime number
BaseRepresentation
bin10011110110100110101000…
…00101100001111100110001
312201120121220121120000010202
421323103110011201330301
521210241234042103423
6232504005514404545
712124105112362442
oct1173232405417461
9181517817500122
1043657605816113
1112a020a5371633
124a91177a30755
131b48b82481793
14aad07a1612c9
1550a97b758728
hex27b4d4161f31

43657605816113 has 2 divisors, whose sum is σ = 43657605816114. Its totient is φ = 43657605816112.

The previous prime is 43657605816109. The next prime is 43657605816127. The reversal of 43657605816113 is 31161850675634.

43657605816113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42640469021089 + 1017136795024 = 6529967^2 + 1008532^2 .

It is a cyclic number.

It is not a de Polignac number, because 43657605816113 - 22 = 43657605816109 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (43657605816103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21828802908056 + 21828802908057.

It is an arithmetic number, because the mean of its divisors is an integer number (21828802908057).

Almost surely, 243657605816113 is an apocalyptic number.

It is an amenable number.

43657605816113 is a deficient number, since it is larger than the sum of its proper divisors (1).

43657605816113 is an equidigital number, since it uses as much as digits as its factorization.

43657605816113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10886400, while the sum is 56.

The spelling of 43657605816113 in words is "forty-three trillion, six hundred fifty-seven billion, six hundred five million, eight hundred sixteen thousand, one hundred thirteen".