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7226427973 is a prime number
BaseRepresentation
bin1101011101011101…
…01000101001000101
3200122121210120120111
412232232220221011
5104244431143343
63153023233021
7344035424062
oct65656505105
920577716514
107226427973
113079148326
121498148771
138b21b43ab
144c7a5bc69
152c4643c9d
hex1aeba8a45

7226427973 has 2 divisors, whose sum is σ = 7226427974. Its totient is φ = 7226427972.

The previous prime is 7226427961. The next prime is 7226427977. The reversal of 7226427973 is 3797246227.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7223810049 + 2617924 = 84993^2 + 1618^2 .

It is a cyclic number.

It is not a de Polignac number, because 7226427973 - 221 = 7224330821 is a prime.

It is a super-3 number, since 3×72264279733 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7226427977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3613213986 + 3613213987.

It is an arithmetic number, because the mean of its divisors is an integer number (3613213987).

Almost surely, 27226427973 is an apocalyptic number.

It is an amenable number.

7226427973 is a deficient number, since it is larger than the sum of its proper divisors (1).

7226427973 is an equidigital number, since it uses as much as digits as its factorization.

7226427973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1778112, while the sum is 49.

The square root of 7226427973 is about 85008.3994261744. The cubic root of 7226427973 is about 1933.3384702962.

The spelling of 7226427973 in words is "seven billion, two hundred twenty-six million, four hundred twenty-seven thousand, nine hundred seventy-three".