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38181216761 is a prime number
BaseRepresentation
bin100011100011110001…
…110010000111111001
310122112220200202221022
4203203301302013321
51111143342414021
625312403552225
72521110662522
oct434361620771
9118486622838
1038181216761
11152133352a6
12749698b675
1337a6316b6c
141bc2c05849
15ed6ebd1ab
hex8e3c721f9

38181216761 has 2 divisors, whose sum is σ = 38181216762. Its totient is φ = 38181216760.

The previous prime is 38181216721. The next prime is 38181216797. The reversal of 38181216761 is 16761218183.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35668099600 + 2513117161 = 188860^2 + 50131^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38181216761 is a prime.

It is a super-2 number, since 2×381812167612 (a number of 22 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (38181216721) 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, 19090608380 + 19090608381.

It is an arithmetic number, because the mean of its divisors is an integer number (19090608381).

Almost surely, 238181216761 is an apocalyptic number.

It is an amenable number.

38181216761 is a deficient number, since it is larger than the sum of its proper divisors (1).

38181216761 is an equidigital number, since it uses as much as digits as its factorization.

38181216761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 96768, while the sum is 44.

The spelling of 38181216761 in words is "thirty-eight billion, one hundred eighty-one million, two hundred sixteen thousand, seven hundred sixty-one".