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11085000629 = 294197223431
BaseRepresentation
bin10100101001011011…
…11010111110110101
31001121112101101011212
422110231322332311
5140200230010004
65031542011205
7541460644043
oct122455727665
931545341155
1011085000629
11477921504a
122194416b05
131078718b91
147722b9393
1544d27e96e
hex294b7afb5

11085000629 has 32 divisors (see below), whose sum is σ = 11948912640. Its totient is φ = 10263859200.

The previous prime is 11085000617. The next prime is 11085000701. The reversal of 11085000629 is 92600058011.

It is a cyclic number.

It is not a de Polignac number, because 11085000629 - 216 = 11084935093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11085000595 and 11085000604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11085000529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25719044 + ... + 25719474.

It is an arithmetic number, because the mean of its divisors is an integer number (373403520).

Almost surely, 211085000629 is an apocalyptic number.

It is an amenable number.

11085000629 is a deficient number, since it is larger than the sum of its proper divisors (863912011).

11085000629 is a wasteful number, since it uses less digits than its factorization.

11085000629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821.

The product of its (nonzero) digits is 4320, while the sum is 32.

The spelling of 11085000629 in words is "eleven billion, eighty-five million, six hundred twenty-nine", and thus it is an aban number.

Divisors: 1 29 41 97 223 431 1189 2813 3977 6467 9143 12499 17671 21631 41807 96113 115333 265147 512459 627299 886871 1212403 1714087 2787277 3940633 9322961 25719259 49708523 114278357 270365869 382241401 11085000629