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10344045342673 = 72709132976929
BaseRepresentation
bin1001011010000110100100…
…1001011110111111010001
31100121212210022020111222101
42112201221021132333101
52323434101101431143
633555553330440401
72115222041453500
oct226415111367721
940555708214871
1010344045342673
113328980a22169
1211b08b3a33101
135a0593175673
1427a923bd6837
1512e114318b4d
hex9686925efd1

10344045342673 has 12 divisors (see below), whose sum is σ = 12033042799140. Its totient is φ = 8866196570112.

The previous prime is 10344045342671. The next prime is 10344045342791. The reversal of 10344045342673 is 37624354044301.

It can be written as a sum of positive squares in 2 ways, for example, as 5118327066384 + 5225718276289 = 2262372^2 + 2285983^2 .

It is not a de Polignac number, because 10344045342673 - 21 = 10344045342671 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10344045342671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1986273 + ... + 4963201.

It is an arithmetic number, because the mean of its divisors is an integer number (1002753566595).

Almost surely, 210344045342673 is an apocalyptic number.

It is an amenable number.

10344045342673 is a deficient number, since it is larger than the sum of its proper divisors (1688997456467).

10344045342673 is an equidigital number, since it uses as much as digits as its factorization.

10344045342673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047856 (or 3047849 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 46.

Adding to 10344045342673 its reverse (37624354044301), we get a palindrome (47968399386974).

The spelling of 10344045342673 in words is "ten trillion, three hundred forty-four billion, forty-five million, three hundred forty-two thousand, six hundred seventy-three".

Divisors: 1 7 49 70913 496391 2976929 3474737 20838503 145869521 211102966177 1477720763239 10344045342673