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272167401114241 is a prime number
BaseRepresentation
bin111101111000100011101001…
…010000110100101010000001
31022200122221122010211101102021
4331320203221100310222001
5241133142314141123431
62402503551124521441
7111220305630423433
oct7570435120645201
91280587563741367
10272167401114241
11797a26015a3056
1226637a47b50281
13b8b3377c112a9
144b2cd88780653
15216ea7314cb11
hexf788e9434a81

272167401114241 has 2 divisors, whose sum is σ = 272167401114242. Its totient is φ = 272167401114240.

The previous prime is 272167401114209. The next prime is 272167401114263. The reversal of 272167401114241 is 142411104761272.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204735318530625 + 67432082583616 = 14308575^2 + 8211704^2 .

It is a cyclic number.

It is not a de Polignac number, because 272167401114241 - 25 = 272167401114209 is a prime.

It is not a weakly prime, because it can be changed into another prime (272167401114281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 136083700557120 + 136083700557121.

It is an arithmetic number, because the mean of its divisors is an integer number (136083700557121).

Almost surely, 2272167401114241 is an apocalyptic number.

It is an amenable number.

272167401114241 is a deficient number, since it is larger than the sum of its proper divisors (1).

272167401114241 is an equidigital number, since it uses as much as digits as its factorization.

272167401114241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 150528, while the sum is 43.

The spelling of 272167401114241 in words is "two hundred seventy-two trillion, one hundred sixty-seven billion, four hundred one million, one hundred fourteen thousand, two hundred forty-one".