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41217444077857 is a prime number
BaseRepresentation
bin10010101111100101011110…
…00111001110000100100001
312101221100102112202002111121
421113302233013032010201
520400301311140442412
6223355011000012241
711452601455003435
oct1127625707160441
9171840375662447
1041217444077857
1112151246711033
124758272761081
1319cca32b7ab18
14a26d1367c9c5
154b726109d107
hex257caf1ce121

41217444077857 has 2 divisors, whose sum is σ = 41217444077858. Its totient is φ = 41217444077856.

The previous prime is 41217444077833. The next prime is 41217444077899. The reversal of 41217444077857 is 75877044471214.

41217444077857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34609583106081 + 6607860971776 = 5882991^2 + 2570576^2 .

It is a cyclic number.

It is not a de Polignac number, because 41217444077857 - 235 = 41183084339489 is a prime.

It is a super-2 number, since 2×412174440778572 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41217444077795 and 41217444077804.

It is not a weakly prime, because it can be changed into another prime (41217444077357) 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, 20608722038928 + 20608722038929.

It is an arithmetic number, because the mean of its divisors is an integer number (20608722038929).

Almost surely, 241217444077857 is an apocalyptic number.

It is an amenable number.

41217444077857 is a deficient number, since it is larger than the sum of its proper divisors (1).

41217444077857 is an equidigital number, since it uses as much as digits as its factorization.

41217444077857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49172480, while the sum is 61.

The spelling of 41217444077857 in words is "forty-one trillion, two hundred seventeen billion, four hundred forty-four million, seventy-seven thousand, eight hundred fifty-seven".