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2221679473681 is a prime number
BaseRepresentation
bin100000010101000110011…
…010100111010000010001
321212101112122212220111011
4200111012122213100101
5242344444421124211
64420343033250521
7316340200640503
oct40250632472021
97771478786434
102221679473681
11787233164488
122ba6abb63a41
1313167119b885
147975bd17d73
153cbce869921
hex205466a7411

2221679473681 has 2 divisors, whose sum is σ = 2221679473682. Its totient is φ = 2221679473680.

The previous prime is 2221679473627. The next prime is 2221679473687. The reversal of 2221679473681 is 1863749761222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1253504160000 + 968175313681 = 1119600^2 + 983959^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2221679473681 is a prime.

It is a super-2 number, since 2×22216794736812 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2221679473687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110839736840 + 1110839736841.

It is an arithmetic number, because the mean of its divisors is an integer number (1110839736841).

Almost surely, 22221679473681 is an apocalyptic number.

It is an amenable number.

2221679473681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221679473681 is an equidigital number, since it uses as much as digits as its factorization.

2221679473681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12192768, while the sum is 58.

The spelling of 2221679473681 in words is "two trillion, two hundred twenty-one billion, six hundred seventy-nine million, four hundred seventy-three thousand, six hundred eighty-one".