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3286137601 is a prime number
BaseRepresentation
bin1100001111011110…
…0111101100000001
322111000110002100001
43003313213230001
523212222400401
61302025200001
7144301465045
oct30367475401
98430402301
103286137601
111436a368aa
12778630001
13404a6a726
1423260c025
15143765601
hexc3de7b01

3286137601 has 2 divisors, whose sum is σ = 3286137602. Its totient is φ = 3286137600.

The previous prime is 3286137557. The next prime is 3286137611. The reversal of 3286137601 is 1067316823.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2959251201 + 326886400 = 54399^2 + 18080^2 .

It is an emirp because it is prime and its reverse (1067316823) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3286137601 - 27 = 3286137473 is a prime.

It is not a weakly prime, because it can be changed into another prime (3286137611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1643068800 + 1643068801.

It is an arithmetic number, because the mean of its divisors is an integer number (1643068801).

Almost surely, 23286137601 is an apocalyptic number.

It is an amenable number.

3286137601 is a deficient number, since it is larger than the sum of its proper divisors (1).

3286137601 is an equidigital number, since it uses as much as digits as its factorization.

3286137601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 3286137601 is about 57324.8427908878. The cubic root of 3286137601 is about 1486.7179385069.

The spelling of 3286137601 in words is "three billion, two hundred eighty-six million, one hundred thirty-seven thousand, six hundred one".