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254165040097 is a prime number
BaseRepresentation
bin1110110010110101101…
…0101011101111100001
3220022001012100211000121
43230231122223233201
513131012222240342
6312432314520241
724235306123543
oct3545532535741
9808035324017
10254165040097
11988775a2551
1241313436081
131ac76c47167
14c431a47693
1569287e0067
hex3b2d6abbe1

254165040097 has 2 divisors, whose sum is σ = 254165040098. Its totient is φ = 254165040096.

The previous prime is 254165039987. The next prime is 254165040109. The reversal of 254165040097 is 790040561452.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219271173696 + 34893866401 = 468264^2 + 186799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-254165040097 is a prime.

It is not a weakly prime, because it can be changed into another prime (254165040497) 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, 127082520048 + 127082520049.

It is an arithmetic number, because the mean of its divisors is an integer number (127082520049).

Almost surely, 2254165040097 is an apocalyptic number.

It is an amenable number.

254165040097 is a deficient number, since it is larger than the sum of its proper divisors (1).

254165040097 is an equidigital number, since it uses as much as digits as its factorization.

254165040097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 254165040097 in words is "two hundred fifty-four billion, one hundred sixty-five million, forty thousand, ninety-seven".