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46441744518161 is a prime number
BaseRepresentation
bin10101000111101000011111…
…01011110100110000010001
320002102210021000201011201202
422203310033223310300101
522041400143044040121
6242435013133240545
712532206503025416
oct1243641753646021
9202383230634652
1046441744518161
1113885919057203
12526087a333155
131cbb58c8808c5
14b67b145cc10d
155580ca2ce40b
hex2a3d0faf4c11

46441744518161 has 2 divisors, whose sum is σ = 46441744518162. Its totient is φ = 46441744518160.

The previous prime is 46441744518157. The next prime is 46441744518167. The reversal of 46441744518161 is 16181544714464.

46441744518161 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., 41905632583936 + 4536111934225 = 6473456^2 + 2129815^2 .

It is a cyclic number.

It is not a de Polignac number, because 46441744518161 - 22 = 46441744518157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 46441744518097 and 46441744518106.

It is not a weakly prime, because it can be changed into another prime (46441744518167) 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, 23220872259080 + 23220872259081.

It is an arithmetic number, because the mean of its divisors is an integer number (23220872259081).

Almost surely, 246441744518161 is an apocalyptic number.

It is an amenable number.

46441744518161 is a deficient number, since it is larger than the sum of its proper divisors (1).

46441744518161 is an equidigital number, since it uses as much as digits as its factorization.

46441744518161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10321920, while the sum is 56.

The spelling of 46441744518161 in words is "forty-six trillion, four hundred forty-one billion, seven hundred forty-four million, five hundred eighteen thousand, one hundred sixty-one".