Search a number
-
+
199952676366137 is a prime number
BaseRepresentation
bin101101011101101100011100…
…001111110010011100111001
3222012222021210210212101002022
4231131230130033302130321
5202202011040122204022
61545132554051444225
760055050502132502
oct5535543417623471
9865867723771068
10199952676366137
11587904aa064842
121a5142028b6675
1387755c1b4c476
143753a92933ba9
15181b364661c42
hexb5db1c3f2739

199952676366137 has 2 divisors, whose sum is σ = 199952676366138. Its totient is φ = 199952676366136.

The previous prime is 199952676366127. The next prime is 199952676366211. The reversal of 199952676366137 is 731663676259991.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175517558876416 + 24435117489721 = 13248304^2 + 4943189^2 .

It is a cyclic number.

It is not a de Polignac number, because 199952676366137 - 232 = 199948381398841 is a prime.

It is a super-2 number, since 2×1999526763661372 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (199952676366127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99976338183068 + 99976338183069.

It is an arithmetic number, because the mean of its divisors is an integer number (99976338183069).

Almost surely, 2199952676366137 is an apocalyptic number.

It is an amenable number.

199952676366137 is a deficient number, since it is larger than the sum of its proper divisors (1).

199952676366137 is an equidigital number, since it uses as much as digits as its factorization.

199952676366137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4166497440, while the sum is 80.

The spelling of 199952676366137 in words is "one hundred ninety-nine trillion, nine hundred fifty-two billion, six hundred seventy-six million, three hundred sixty-six thousand, one hundred thirty-seven".