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45947151181 is a prime number
BaseRepresentation
bin101010110010101010…
…011110001101001101
311101121010200010020001
4222302222132031031
51223044432314211
633035142524301
73214420224661
oct526252361515
9141533603201
1045947151181
1118538a72818
128aa3736691
134443206329
14231c3808a1
1512ddb80ac1
hexab2a9e34d

45947151181 has 2 divisors, whose sum is σ = 45947151182. Its totient is φ = 45947151180.

The previous prime is 45947151163. The next prime is 45947151199. The reversal of 45947151181 is 18115174954.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (45947151163) and next prime (45947151199).

It can be written as a sum of positive squares in only one way, i.e., 44728443081 + 1218708100 = 211491^2 + 34910^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45947151181 is a prime.

It is a super-2 number, since 2×459471511812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45947151101) 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, 22973575590 + 22973575591.

It is an arithmetic number, because the mean of its divisors is an integer number (22973575591).

Almost surely, 245947151181 is an apocalyptic number.

It is an amenable number.

45947151181 is a deficient number, since it is larger than the sum of its proper divisors (1).

45947151181 is an equidigital number, since it uses as much as digits as its factorization.

45947151181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 201600, while the sum is 46.

The spelling of 45947151181 in words is "forty-five billion, nine hundred forty-seven million, one hundred fifty-one thousand, one hundred eighty-one".