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5286728682 = 23319411091153
BaseRepresentation
bin1001110110001110…
…10001001111101010
3111122102220122101000
410323013101033222
541311400304212
62232332535430
7245003311104
oct47307211752
914572818330
105286728682
112273247564
121036621576
13663390b31
143821bc574
1520e1e31dc
hex13b1d13ea

5286728682 has 128 divisors (see below), whose sum is σ = 12795552000. Its totient is φ = 1612431360.

The previous prime is 5286728677. The next prime is 5286728717. The reversal of 5286728682 is 2868276825.

5286728682 is a `hidden beast` number, since 5 + 286 + 7 + 286 + 82 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4584618 + ... + 4585770.

It is an arithmetic number, because the mean of its divisors is an integer number (99965250).

Almost surely, 25286728682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5286728682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6397776000).

5286728682 is an abundant number, since it is smaller than the sum of its proper divisors (7508823318).

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

5286728682 is a wasteful number, since it uses less digits than its factorization.

5286728682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1327 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 5286728682 is about 72709.8939759920. The cubic root of 5286728682 is about 1742.0569194420.

The spelling of 5286728682 in words is "five billion, two hundred eighty-six million, seven hundred twenty-eight thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 82 109 114 123 171 218 246 327 342 369 513 654 738 779 981 1026 1107 1153 1558 1962 2071 2214 2306 2337 2943 3459 4142 4469 4674 5886 6213 6918 7011 8938 10377 12426 13407 14022 18639 20754 21033 21907 26814 31131 37278 40221 42066 43814 47273 55917 62262 65721 80442 84911 94546 111834 120663 125677 131442 141819 169822 197163 241326 251354 254733 283638 377031 394326 425457 509466 591489 754062 764199 850914 898187 1131093 1182978 1276371 1528398 1796374 2262186 2292597 2387863 2552742 2694561 3393279 4585194 4775726 5152757 5389122 6786558 7163589 8083683 10305514 14327178 15458271 16167366 21490767 24251049 30916542 42981534 46374813 48502098 64472301 92749626 97902383 128944602 139124439 195804766 278248878 293707149 587414298 881121447 1762242894 2643364341 5286728682