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40966437581 is a prime number
BaseRepresentation
bin100110001001110010…
…100011101011001101
310220202000120122121222
4212021302203223031
51132344402000311
630453020533125
72650120655036
oct461162435315
9126660518558
1040966437581
1116412538993
127b336b11a5
133b2b36b114
141da8a9da8d
1510eb788adb
hex989ca3acd

40966437581 has 2 divisors, whose sum is σ = 40966437582. Its totient is φ = 40966437580.

The previous prime is 40966437563. The next prime is 40966437587. The reversal of 40966437581 is 18573466904.

40966437581 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40356792100 + 609645481 = 200890^2 + 24691^2 .

It is a cyclic number.

It is not a de Polignac number, because 40966437581 - 230 = 39892695757 is a prime.

It is a super-2 number, since 2×409664375812 (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 (40966437587) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20483218790 + 20483218791.

It is an arithmetic number, because the mean of its divisors is an integer number (20483218791).

Almost surely, 240966437581 is an apocalyptic number.

It is an amenable number.

40966437581 is a deficient number, since it is larger than the sum of its proper divisors (1).

40966437581 is an equidigital number, since it uses as much as digits as its factorization.

40966437581 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 40966437581 in words is "forty billion, nine hundred sixty-six million, four hundred thirty-seven thousand, five hundred eighty-one".