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10640434349 = 41401647189
BaseRepresentation
bin10011110100011100…
…00010010010101101
31000110112212001220002
421322032002102231
5133242422344344
64515501234045
7524452125326
oct117216022255
930415761802
1010640434349
11457027a8a6
12208b562925
1310075a24cc
1472d23344d
1542421644e
hex27a3824ad

10640434349 has 8 divisors (see below), whose sum is σ = 10927155960. Its totient is φ = 10355008000.

The previous prime is 10640434333. The next prime is 10640434361. The reversal of 10640434349 is 94343404601.

It can be written as a sum of positive squares in 4 ways, for example, as 2928433225 + 7712001124 = 54115^2 + 87818^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10640434349 - 24 = 10640434333 is a prime.

It is a super-2 number, since 2×106404343492 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10640434309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307154 + ... + 340035.

It is an arithmetic number, because the mean of its divisors is an integer number (1365894495).

Almost surely, 210640434349 is an apocalyptic number.

It is an amenable number.

10640434349 is a deficient number, since it is larger than the sum of its proper divisors (286721611).

10640434349 is an equidigital number, since it uses as much as digits as its factorization.

10640434349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647631.

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 10640434349 in words is "ten billion, six hundred forty million, four hundred thirty-four thousand, three hundred forty-nine".

Divisors: 1 41 401 16441 647189 26534749 259522789 10640434349