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819895741013 is a prime number
BaseRepresentation
bin10111110111001011001…
…10000010101001010101
32220101021221111002210102
423323211212002221111
5101413121302203023
61424353243103445
7113143531544606
oct13734546025125
92811257432712
10819895741013
11296796853468
12112a99511b85
135c414b7c0ab
142b97c86bdad
15164d9d16628
hexbee5982a55

819895741013 has 2 divisors, whose sum is σ = 819895741014. Its totient is φ = 819895741012.

The previous prime is 819895741009. The next prime is 819895741081. The reversal of 819895741013 is 310147598918.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 689261927524 + 130633813489 = 830218^2 + 361433^2 .

It is a cyclic number.

It is not a de Polignac number, because 819895741013 - 22 = 819895741009 is a prime.

It is a super-2 number, since 2×8198957410132 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 819895741013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (819895741213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 409947870506 + 409947870507.

It is an arithmetic number, because the mean of its divisors is an integer number (409947870507).

Almost surely, 2819895741013 is an apocalyptic number.

It is an amenable number.

819895741013 is a deficient number, since it is larger than the sum of its proper divisors (1).

819895741013 is an equidigital number, since it uses as much as digits as its factorization.

819895741013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2177280, while the sum is 56.

The spelling of 819895741013 in words is "eight hundred nineteen billion, eight hundred ninety-five million, seven hundred forty-one thousand, thirteen".