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10420629349 = 131722773657
BaseRepresentation
bin10011011010001111…
…00010111101100101
3222220020020211010011
421231013202331211
5132320140114344
64442010130221
7516142613404
oct115507427545
928806224104
1010420629349
1144681a0079
122029a20971
13ca0ba2790
1470bd7763b
1540ec98d34
hex26d1e2f65

10420629349 has 12 divisors (see below), whose sum is σ = 11921182084. Its totient is φ = 9053213184.

The previous prime is 10420629341. The next prime is 10420629361. The reversal of 10420629349 is 94392602401.

It can be written as a sum of positive squares in 6 ways, for example, as 1982920900 + 8437708449 = 44530^2 + 91857^2 .

It is not a de Polignac number, because 10420629349 - 23 = 10420629341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420629341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1383072 + ... + 1390585.

Almost surely, 210420629349 is an apocalyptic number.

It is an amenable number.

10420629349 is a deficient number, since it is larger than the sum of its proper divisors (1500552735).

10420629349 is a wasteful number, since it uses less digits than its factorization.

10420629349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773704 (or 2773687 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 10420629349 in words is "ten billion, four hundred twenty million, six hundred twenty-nine thousand, three hundred forty-nine".

Divisors: 1 13 17 221 289 3757 2773657 36057541 47152169 612978197 801586873 10420629349