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40906166993 is a prime number
BaseRepresentation
bin100110000110001100…
…101001001011010001
310220120211011120220222
4212012030221023101
51132233434320433
630443025042425
72645456453036
oct460614511321
9126524146828
1040906166993
111639151278a
127b17486415
133b1ba27c53
141da0a9138d
1510e6330b98
hex9863292d1

40906166993 has 2 divisors, whose sum is σ = 40906166994. Its totient is φ = 40906166992.

The previous prime is 40906166957. The next prime is 40906166999. The reversal of 40906166993 is 39966160904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25245396544 + 15660770449 = 158888^2 + 125143^2 .

It is a cyclic number.

It is not a de Polignac number, because 40906166993 - 212 = 40906162897 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (40906166999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20453083496 + 20453083497.

It is an arithmetic number, because the mean of its divisors is an integer number (20453083497).

Almost surely, 240906166993 is an apocalyptic number.

It is an amenable number.

40906166993 is a deficient number, since it is larger than the sum of its proper divisors (1).

40906166993 is an equidigital number, since it uses as much as digits as its factorization.

40906166993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1889568, while the sum is 53.

The spelling of 40906166993 in words is "forty billion, nine hundred six million, one hundred sixty-six thousand, nine hundred ninety-three".