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2263801884791 is a prime number
BaseRepresentation
bin100000111100010101000…
…110110111000001110111
322000102021020122002200112
4200330111012313001313
5244042231240303131
64451550510533235
7322361056346006
oct40742506670167
98012236562615
102263801884791
117a3089168397
123068a680721b
13135624b879a5
147b7d6326c3d
153dd4784402b
hex20f151b7077

2263801884791 has 2 divisors, whose sum is σ = 2263801884792. Its totient is φ = 2263801884790.

The previous prime is 2263801884731. The next prime is 2263801884859. The reversal of 2263801884791 is 1974881083622.

2263801884791 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2263801884791 - 214 = 2263801868407 is a prime.

It is a super-2 number, since 2×22638018847912 (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2263801884791.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2263801884731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1131900942395 + 1131900942396.

It is an arithmetic number, because the mean of its divisors is an integer number (1131900942396).

Almost surely, 22263801884791 is an apocalyptic number.

2263801884791 is a deficient number, since it is larger than the sum of its proper divisors (1).

2263801884791 is an equidigital number, since it uses as much as digits as its factorization.

2263801884791 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9289728, while the sum is 59.

The spelling of 2263801884791 in words is "two trillion, two hundred sixty-three billion, eight hundred one million, eight hundred eighty-four thousand, seven hundred ninety-one".