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41167673705713 is a prime number
BaseRepresentation
bin10010101110001000110001…
…00100010100010011110001
312101202120221222000020002011
421113010120210110103301
520343442343432040323
6223320100200122521
711446160221553602
oct1127043044242361
9171676858006064
1041167673705713
1112132126627875
12474a6a2766441
1319c8130869b89
14a24751643da9
154b5ceb96620d
hex2571189144f1

41167673705713 has 2 divisors, whose sum is σ = 41167673705714. Its totient is φ = 41167673705712.

The previous prime is 41167673705677. The next prime is 41167673705761. The reversal of 41167673705713 is 31750737676114.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24231872617744 + 16935801087969 = 4922588^2 + 4115313^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41167673705713 is a prime.

It is not a weakly prime, because it can be changed into another prime (41167673702713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20583836852856 + 20583836852857.

It is an arithmetic number, because the mean of its divisors is an integer number (20583836852857).

Almost surely, 241167673705713 is an apocalyptic number.

It is an amenable number.

41167673705713 is a deficient number, since it is larger than the sum of its proper divisors (1).

41167673705713 is an equidigital number, since it uses as much as digits as its factorization.

41167673705713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15558480, while the sum is 58.

The spelling of 41167673705713 in words is "forty-one trillion, one hundred sixty-seven billion, six hundred seventy-three million, seven hundred five thousand, seven hundred thirteen".