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10606260828 = 22329473891667
BaseRepresentation
bin10011110000010111…
…01011001001011100
31000101011112212122010
421320023223021130
5133210200321303
64512240551220
7523555505142
oct117013531134
930334485563
1010606260828
114552a59819
122080022510
1310004989a7
14728899592
15421215c03
hex2782eb25c

10606260828 has 96 divisors (see below), whose sum is σ = 26228966400. Its totient is φ = 3330294016.

The previous prime is 10606260809. The next prime is 10606260839. The reversal of 10606260828 is 82806260601.

10606260828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106062608282 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6361651 + ... + 6363317.

It is an arithmetic number, because the mean of its divisors is an integer number (273218400).

Almost surely, 210606260828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10606260828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13114483200).

10606260828 is an abundant number, since it is smaller than the sum of its proper divisors (15622705572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10606260828 is a wasteful number, since it uses less digits than its factorization.

10606260828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 10606260828 in words is "ten billion, six hundred six million, two hundred sixty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 47 58 87 94 116 141 174 188 282 348 389 564 778 1167 1363 1556 1667 2334 2726 3334 4089 4668 5001 5452 6668 8178 10002 11281 16356 18283 20004 22562 33843 36566 45124 48343 54849 67686 73132 78349 96686 109698 135372 145029 156698 193372 219396 235047 290058 313396 470094 530207 580116 648463 940188 1060414 1296926 1590621 1945389 2120828 2272121 2593852 3181242 3890778 4544242 6362484 6816363 7781556 9088484 13632726 18805427 27265452 30477761 37610854 56416281 60955522 75221708 91433283 112832562 121911044 182866566 225665124 365733132 883855069 1767710138 2651565207 3535420276 5303130414 10606260828