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3666678337037 is a prime number
BaseRepresentation
bin110101010110110111000…
…011110100111000001101
3110222112100010011210211202
4311112313003310320031
5440033324123241122
611444240533555245
7525623464423142
oct65266703647015
913875303153752
103666678337037
111194036370841
124b27631a5b25
132079c66a93c1
14c967a9783c9
15655a3290e92
hex355b70f4e0d

3666678337037 has 2 divisors, whose sum is σ = 3666678337038. Its totient is φ = 3666678337036.

The previous prime is 3666678337033. The next prime is 3666678337039. The reversal of 3666678337037 is 7307338766663.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3602939255881 + 63739081156 = 1898141^2 + 252466^2 .

It is a cyclic number.

It is not a de Polignac number, because 3666678337037 - 22 = 3666678337033 is a prime.

It is a super-3 number, since 3×36666783370373 (a number of 39 digits) contains 333 as substring.

Together with 3666678337039, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3666678337033) 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, 1833339168518 + 1833339168519.

It is an arithmetic number, because the mean of its divisors is an integer number (1833339168519).

Almost surely, 23666678337037 is an apocalyptic number.

It is an amenable number.

3666678337037 is a deficient number, since it is larger than the sum of its proper divisors (1).

3666678337037 is an equidigital number, since it uses as much as digits as its factorization.

3666678337037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288054144, while the sum is 65.

The spelling of 3666678337037 in words is "three trillion, six hundred sixty-six billion, six hundred seventy-eight million, three hundred thirty-seven thousand, thirty-seven".