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335683408961 is a prime number
BaseRepresentation
bin1001110001010000100…
…10100101010001000001
31012002110100120000112102
410320220102211101001
520444434423041321
6414113312240145
733152355616535
oct4705022452101
91162410500472
10335683408961
1111a3a959562a
1255083840055
1325868803094
1412366307bc5
158aea235c0b
hex4e284a5441

335683408961 has 2 divisors, whose sum is σ = 335683408962. Its totient is φ = 335683408960.

The previous prime is 335683408873. The next prime is 335683408987. The reversal of 335683408961 is 169804386533.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171929646736 + 163753762225 = 414644^2 + 404665^2 .

It is a cyclic number.

It is not a de Polignac number, because 335683408961 - 230 = 334609667137 is a prime.

It is a super-2 number, since 2×3356834089612 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 335683408897 and 335683408906.

It is not a weakly prime, because it can be changed into another prime (335683408861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167841704480 + 167841704481.

It is an arithmetic number, because the mean of its divisors is an integer number (167841704481).

Almost surely, 2335683408961 is an apocalyptic number.

It is an amenable number.

335683408961 is a deficient number, since it is larger than the sum of its proper divisors (1).

335683408961 is an equidigital number, since it uses as much as digits as its factorization.

335683408961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11197440, while the sum is 56.

The spelling of 335683408961 in words is "three hundred thirty-five billion, six hundred eighty-three million, four hundred eight thousand, nine hundred sixty-one".