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18165741436001 is a prime number
BaseRepresentation
bin1000010000101100010101…
…00100001011110001100001
32101022121221202100222020102
410020112022210023301201
54340111414301423001
6102345120523152145
73553301002334315
oct410261244136141
971277852328212
1018165741436001
115874058508245
122054786075655
13a1a0396345b3
1446b325a25b45
152177ec906e6b
hex10858a90bc61

18165741436001 has 2 divisors, whose sum is σ = 18165741436002. Its totient is φ = 18165741436000.

The previous prime is 18165741435991. The next prime is 18165741436049. The reversal of 18165741436001 is 10063414756181.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17926205584225 + 239535851776 = 4233935^2 + 489424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-18165741436001 is a prime.

It is not a weakly prime, because it can be changed into another prime (18165741136001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9082870718000 + 9082870718001.

It is an arithmetic number, because the mean of its divisors is an integer number (9082870718001).

Almost surely, 218165741436001 is an apocalyptic number.

It is an amenable number.

18165741436001 is a deficient number, since it is larger than the sum of its proper divisors (1).

18165741436001 is an equidigital number, since it uses as much as digits as its factorization.

18165741436001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 18165741436001 in words is "eighteen trillion, one hundred sixty-five billion, seven hundred forty-one million, four hundred thirty-six thousand, one".