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16300650276 = 22344121732
BaseRepresentation
bin11110010111001100…
…00010111100100100
31120002000112211110000
433023212002330210
5231340431302101
611253255301300
71114642145511
oct171346027444
946060484400
1016300650276
116a053238a9
1231ab07a830
1316ca150cc1
14b08c74308
156560d2486
hex3cb982f24

16300650276 has 135 divisors (see below), whose sum is σ = 43931746243. Its totient is φ = 5270382720.

The previous prime is 16300650269. The next prime is 16300650287. The reversal of 16300650276 is 67205600361.

The square root of 16300650276 is 127674.

It is a perfect power (a square), and thus also a powerful number.

16300650276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 114704100 + 16185946176 = 10710^2 + 127224^2 .

It is a super-2 number, since 2×163006502762 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16300650276.

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 44 ways as a sum of consecutive naturals, for example, 94223326 + ... + 94223498.

Almost surely, 216300650276 is an apocalyptic number.

16300650276 is the 127674-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16300650276

16300650276 is an abundant number, since it is smaller than the sum of its proper divisors (27631095967).

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

16300650276 is an equidigital number, since it uses as much as digits as its factorization.

16300650276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Multiplying 16300650276 by its sum of digits (36), we get a square (586823409936 = 7660442).

16300650276 divided by its sum of digits (36) gives a square (452795841 = 212792).

The spelling of 16300650276 in words is "sixteen billion, three hundred million, six hundred fifty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 173 246 324 346 369 492 519 692 738 1038 1107 1476 1557 1681 2076 2214 3114 3321 3362 4428 4671 5043 6228 6642 6724 7093 9342 10086 13284 14013 14186 15129 18684 20172 21279 28026 28372 29929 30258 42558 45387 56052 59858 60516 63837 85116 89787 90774 119716 127674 136161 179574 181548 191511 255348 269361 272322 290813 359148 383022 538722 544644 574533 581626 766044 808083 872439 1077444 1149066 1163252 1227089 1616166 1744878 2298132 2424249 2454178 2617317 3232332 3489756 3681267 4848498 4908356 5234634 7362534 7851951 9696996 10469268 11043801 14725068 15703902 22087602 23555853 31407804 33131403 44175204 47111706 50310649 66262806 94223412 99394209 100621298 132525612 150931947 198788418 201242596 301863894 397576836 452795841 603727788 905591682 1358387523 1811183364 2716775046 4075162569 5433550092 8150325138 16300650276