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3679562688041 is a prime number
BaseRepresentation
bin110101100010110111000…
…001101110011000101001
3111000202121001100122201002
4311202313001232120221
5440241221022004131
611454211234204345
7526560664540532
oct65426701563051
914022531318632
103679562688041
111199548236409
124b515a1236b5
13208c9ab18736
14ca13dbdb689
1565aa949b6cb
hex358b706e629

3679562688041 has 2 divisors, whose sum is σ = 3679562688042. Its totient is φ = 3679562688040.

The previous prime is 3679562687989. The next prime is 3679562688047. The reversal of 3679562688041 is 1408862659763.

3679562688041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1850631023641 + 1828931664400 = 1360379^2 + 1352380^2 .

It is a cyclic number.

It is not a de Polignac number, because 3679562688041 - 214 = 3679562671657 is a prime.

It is not a weakly prime, because it can be changed into another prime (3679562688047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1839781344020 + 1839781344021.

It is an arithmetic number, because the mean of its divisors is an integer number (1839781344021).

It is a 1-persistent number, because it is pandigital, but 2⋅3679562688041 = 7359125376082 is not.

Almost surely, 23679562688041 is an apocalyptic number.

It is an amenable number.

3679562688041 is a deficient number, since it is larger than the sum of its proper divisors (1).

3679562688041 is an equidigital number, since it uses as much as digits as its factorization.

3679562688041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104509440, while the sum is 65.

The spelling of 3679562688041 in words is "three trillion, six hundred seventy-nine billion, five hundred sixty-two million, six hundred eighty-eight thousand, forty-one".