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10655122016 = 257114499631
BaseRepresentation
bin10011110110001100…
…00100001001100000
31000111120111021120202
421323012010021200
5133310202401031
64521144124332
7525021020450
oct117306041140
930446437522
1010655122016
1145785a1970
1220944666a8
13100a645936
14731177d60
154256682cb
hex27b184260

10655122016 has 96 divisors (see below), whose sum is σ = 26214451200. Its totient is φ = 4141670400.

The previous prime is 10655122013. The next prime is 10655122019. The reversal of 10655122016 is 61022155601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10655122013) and next prime (10655122019).

It is a super-2 number, since 2×106551220162 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10655122016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10655122013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1101521 + ... + 1111151.

It is an arithmetic number, because the mean of its divisors is an integer number (273067200).

Almost surely, 210655122016 is an apocalyptic number.

10655122016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10655122016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13107225600).

10655122016 is an abundant number, since it is smaller than the sum of its proper divisors (15559329184).

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

10655122016 is a wasteful number, since it uses less digits than its factorization.

10655122016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10108 (or 10100 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 10655122016 its reverse (61022155601), we get a palindrome (71677277617).

The spelling of 10655122016 in words is "ten billion, six hundred fifty-five million, one hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 449 616 898 1232 1796 2464 3143 3592 4939 6286 7184 9631 9878 12572 14368 19262 19756 25144 34573 38524 39512 50288 67417 69146 77048 79024 100576 105941 134834 138292 154096 158048 211882 269668 276584 308192 423764 539336 553168 741587 847528 1078672 1106336 1483174 1695056 2157344 2966348 3390112 4324319 5932696 8648638 11865392 17297276 23730784 30270233 34594552 47567509 60540466 69189104 95135018 121080932 138378208 190270036 242161864 332972563 380540072 484323728 665945126 761080144 968647456 1331890252 1522160288 2663780504 5327561008 10655122016