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16472132118 = 232131923315901
BaseRepresentation
bin11110101011101000…
…01100101000010110
31120111222020000022100
433111310030220112
5232213331211433
611322302542530
71122123545541
oct172564145026
946458200270
1016472132118
116a930a8732
123238597a46
131726831950
14b23951858
156661a6b13
hex3d5d0ca16

16472132118 has 96 divisors (see below), whose sum is σ = 40634062560. Its totient is φ = 4780684800.

The previous prime is 16472132093. The next prime is 16472132141. The reversal of 16472132118 is 81123127461.

16472132118 is a `hidden beast` number, since 1 + 647 + 2 + 1 + 3 + 2 + 1 + 1 + 8 = 666.

16472132118 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 2×164721321182 (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 47 ways as a sum of consecutive naturals, for example, 1027968 + ... + 1043868.

It is an arithmetic number, because the mean of its divisors is an integer number (423271485).

Almost surely, 216472132118 is an apocalyptic number.

16472132118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16472132118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20317031280).

16472132118 is an abundant number, since it is smaller than the sum of its proper divisors (24161930442).

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

16472132118 is a wasteful number, since it uses less digits than its factorization.

16472132118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16174 (or 16171 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

Adding to 16472132118 its reverse (81123127461), we get a palindrome (97595259579).

The spelling of 16472132118 in words is "sixteen billion, four hundred seventy-two million, one hundred thirty-two thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 233 234 247 342 466 494 699 741 1398 1482 2097 2223 3029 4194 4427 4446 6058 8854 9087 13281 15901 18174 26562 27261 31802 39843 47703 54522 57551 79686 95406 115102 143109 172653 206713 286218 302119 345306 413426 517959 604238 620139 906357 1035918 1240278 1812714 1860417 2719071 3704933 3720834 3927547 5438142 7409866 7855094 11114799 11782641 22229598 23565282 33344397 35347923 48164129 66688794 70393727 70695846 96328258 140787454 144492387 211181181 288984774 422362362 433477161 633543543 866954322 915118451 1267087086 1830236902 2745355353 5490710706 8236066059 16472132118