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16128123066 = 23211233795717
BaseRepresentation
bin11110000010100111…
…11010000010111010
31112121222220112121100
433001103322002322
5231012244414231
611224213352230
71110445532646
oct170123720272
945558815540
1016128123066
1169269a5630
123161338676
1316a04955b3
14acdda3c26
15645da31e6
hex3c14fa0ba

16128123066 has 96 divisors (see below), whose sum is σ = 40853973888. Its totient is φ = 4548424320.

The previous prime is 16128123061. The next prime is 16128123071. The reversal of 16128123066 is 66032182161.

It is a happy number.

16128123066 is a `hidden beast` number, since 1 + 612 + 8 + 1 + 2 + 30 + 6 + 6 = 666.

16128123066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16128123061) and next prime (16128123071).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 16128123066.

It is not an unprimeable number, because it can be changed into a prime (16128123061) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 120640 + ... + 216356.

It is an arithmetic number, because the mean of its divisors is an integer number (425562228).

Almost surely, 216128123066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16128123066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20426986944).

16128123066 is an abundant number, since it is smaller than the sum of its proper divisors (24725850822).

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

16128123066 is a wasteful number, since it uses less digits than its factorization.

16128123066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95796 (or 95793 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 16128123066 in words is "sixteen billion, one hundred twenty-eight million, one hundred twenty-three thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 23 33 37 46 66 69 74 99 111 138 198 207 222 253 333 407 414 506 666 759 814 851 1221 1518 1702 2277 2442 2553 3663 4554 5106 7326 7659 9361 15318 18722 28083 56166 84249 95717 168498 191434 287151 574302 861453 1052887 1722906 2105774 2201491 3158661 3541529 4402982 6317322 6604473 7083058 9475983 10624587 13208946 18951966 19813419 21249174 24216401 31873761 38956819 39626838 48432802 63747522 72649203 77913638 81455167 116870457 145298406 162910334 217947609 233740914 244365501 350611371 435895218 488731002 701222742 733096503 896006837 1466193006 1792013674 2688020511 5376041022 8064061533 16128123066