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7673324993 = 617310915809
BaseRepresentation
bin1110010010101110…
…11010010111000001
3201210202201022000222
413021113122113001
5111203332344433
63305225552425
7361103120615
oct71127322701
921722638028
107673324993
113288434704
1215a1945715
139539658b9
1452b14d345
152ed9bcb98
hex1c95da5c1

7673324993 has 16 divisors (see below), whose sum is σ = 7978990800. Its totient is φ = 7375380480.

The previous prime is 7673324987. The next prime is 7673325007. The reversal of 7673324993 is 3994233767.

It can be written as a sum of positive squares in 8 ways, for example, as 1535699344 + 6137625649 = 39188^2 + 78343^2 .

It is a cyclic number.

It is not a de Polignac number, because 7673324993 - 210 = 7673323969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7673324903) 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 in 15 ways as a sum of consecutive naturals, for example, 477473 + ... + 493281.

It is an arithmetic number, because the mean of its divisors is an integer number (498686925).

Almost surely, 27673324993 is an apocalyptic number.

7673324993 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

7673324993 is a deficient number, since it is larger than the sum of its proper divisors (305665807).

7673324993 is a wasteful number, since it uses less digits than its factorization.

7673324993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16052.

The product of its digits is 5143824, while the sum is 53.

The square root of 7673324993 is about 87597.5170481447. The cubic root of 7673324993 is about 1972.3978971578.

The spelling of 7673324993 in words is "seven billion, six hundred seventy-three million, three hundred twenty-four thousand, nine hundred ninety-three".

Divisors: 1 61 73 109 4453 6649 7957 15809 485377 964349 1154057 1723181 70397477 105114041 125792213 7673324993