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22005823945753 is a prime number
BaseRepresentation
bin1010000000011101000010…
…10100011011110000011001
32212220201212201002110021101
411000032201110123300121
510341020411412231003
6114445200322311401
74430603555162434
oct500164124336031
985821781073241
1022005823945753
117014687a2152a
122574a61ab8561
13c381a92c1c4b
145611323ac81b
1528264e2c211d
hex1403a151bc19

22005823945753 has 2 divisors, whose sum is σ = 22005823945754. Its totient is φ = 22005823945752.

The previous prime is 22005823945727. The next prime is 22005823945801. The reversal of 22005823945753 is 35754932850022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21374320358169 + 631503587584 = 4623237^2 + 794672^2 .

It is a cyclic number.

It is not a de Polignac number, because 22005823945753 - 237 = 21868384992281 is a prime.

It is a super-2 number, since 2×220058239457532 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22005823945694 and 22005823945703.

It is not a weakly prime, because it can be changed into another prime (22006823945753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11002911972876 + 11002911972877.

It is an arithmetic number, because the mean of its divisors is an integer number (11002911972877).

Almost surely, 222005823945753 is an apocalyptic number.

It is an amenable number.

22005823945753 is a deficient number, since it is larger than the sum of its proper divisors (1).

22005823945753 is an equidigital number, since it uses as much as digits as its factorization.

22005823945753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144000, while the sum is 55.

The spelling of 22005823945753 in words is "twenty-two trillion, five billion, eight hundred twenty-three million, nine hundred forty-five thousand, seven hundred fifty-three".