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19676645756081 is a prime number
BaseRepresentation
bin1000111100101010100110…
…11110110000110010110001
32120200001212021101222000122
410132111103132300302301
510034340232303143311
6105503154250300025
74100406424215446
oct436252336606261
976601767358018
1019676645756081
1162a6900618706
122259570a27615
13ac9665bb51b2
144c04d75779cd
15241c7c2410db
hex11e5537b0cb1

19676645756081 has 2 divisors, whose sum is σ = 19676645756082. Its totient is φ = 19676645756080.

The previous prime is 19676645756071. The next prime is 19676645756147. The reversal of 19676645756081 is 18065754667691.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12011832024481 + 7664813731600 = 3465809^2 + 2768540^2 .

It is a cyclic number.

It is not a de Polignac number, because 19676645756081 - 234 = 19659465886897 is a prime.

It is a super-3 number, since 3×196766457560813 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 19676645755996 and 19676645756014.

It is not a weakly prime, because it can be changed into another prime (19676645756071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9838322878040 + 9838322878041.

It is an arithmetic number, because the mean of its divisors is an integer number (9838322878041).

Almost surely, 219676645756081 is an apocalyptic number.

It is an amenable number.

19676645756081 is a deficient number, since it is larger than the sum of its proper divisors (1).

19676645756081 is an equidigital number, since it uses as much as digits as its factorization.

19676645756081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 457228800, while the sum is 71.

The spelling of 19676645756081 in words is "nineteen trillion, six hundred seventy-six billion, six hundred forty-five million, seven hundred fifty-six thousand, eighty-one".