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368340506137 is a prime number
BaseRepresentation
bin1010101110000101100…
…11100001011000011001
31022012202021122110000001
411113002303201120121
522013330132144022
6441114023213001
735416551433432
oct5270263413031
91265667573001
10368340506137
1113223768203a
125b4785a7161
132897150ca16
1413b835b8489
1598ac26cb27
hex55c2ce1619

368340506137 has 2 divisors, whose sum is σ = 368340506138. Its totient is φ = 368340506136.

The previous prime is 368340506119. The next prime is 368340506153. The reversal of 368340506137 is 731605043863.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 368152843536 + 187662601 = 606756^2 + 13699^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-368340506137 is a prime.

It is a super-2 number, since 2×3683405061372 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (368340506117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 184170253068 + 184170253069.

It is an arithmetic number, because the mean of its divisors is an integer number (184170253069).

Almost surely, 2368340506137 is an apocalyptic number.

It is an amenable number.

368340506137 is a deficient number, since it is larger than the sum of its proper divisors (1).

368340506137 is an equidigital number, since it uses as much as digits as its factorization.

368340506137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 368340506137 in words is "three hundred sixty-eight billion, three hundred forty million, five hundred six thousand, one hundred thirty-seven".