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73675657661 is a prime number
BaseRepresentation
bin100010010011101101…
…0010101000110111101
321001011120202012021112
41010213122111012331
52201341432021121
653502433011405
75215515520514
oct1044732250675
9231146665245
1073675657661
1129277a96081
12123419b3b65
136c41ac7508
1437ccc5b67b
151db316975b
hex11276951bd

73675657661 has 2 divisors, whose sum is σ = 73675657662. Its totient is φ = 73675657660.

The previous prime is 73675657637. The next prime is 73675657669. The reversal of 73675657661 is 16675657637.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61538228761 + 12137428900 = 248069^2 + 110170^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-73675657661 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 73675657661.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73675657669) 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, 36837828830 + 36837828831.

It is an arithmetic number, because the mean of its divisors is an integer number (36837828831).

Almost surely, 273675657661 is an apocalyptic number.

It is an amenable number.

73675657661 is a deficient number, since it is larger than the sum of its proper divisors (1).

73675657661 is an equidigital number, since it uses as much as digits as its factorization.

73675657661 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 33339600, while the sum is 59.

The spelling of 73675657661 in words is "seventy-three billion, six hundred seventy-five million, six hundred fifty-seven thousand, six hundred sixty-one".