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5306780556 = 2233721191163
BaseRepresentation
bin1001111000100111…
…10000101110001100
3111200211122101101000
410330103300232030
541332013434211
62234330420300
7245335614300
oct47423605614
914624571330
105306780556
1122835a2860
121041291690
13667591a4c
14384b1bd00
15210d54656
hex13c4f0b8c

5306780556 has 144 divisors (see below), whose sum is σ = 17459729280. Its totient is φ = 1378369440.

The previous prime is 5306780519. The next prime is 5306780581. The reversal of 5306780556 is 6550876035.

5306780556 is a `hidden beast` number, since 5 + 30 + 67 + 8 + 0 + 556 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12631 + ... + 103793.

It is an arithmetic number, because the mean of its divisors is an integer number (121248120).

Almost surely, 25306780556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5306780556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8729864640).

5306780556 is an abundant number, since it is smaller than the sum of its proper divisors (12152948724).

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

5306780556 is a wasteful number, since it uses less digits than its factorization.

5306780556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91201 (or 91186 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 5306780556 is about 72847.6530575969. The cubic root of 5306780556 is about 1744.2566058152.

The spelling of 5306780556 in words is "five billion, three hundred six million, seven hundred eighty thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 49 54 63 66 77 84 98 99 108 126 132 147 154 189 196 198 231 252 294 297 308 378 396 441 462 539 588 594 693 756 882 924 1078 1188 1323 1386 1617 1764 2079 2156 2646 2772 3234 4158 4851 5292 6468 8316 9702 14553 19404 29106 58212 91163 182326 273489 364652 546978 638141 820467 1002793 1093956 1276282 1640934 1914423 2005586 2461401 2552564 3008379 3281868 3828846 4011172 4466987 4922802 5743269 6016758 7019551 7657692 8933974 9025137 9845604 11486538 12033516 13400961 14039102 17229807 17867948 18050274 21058653 22973076 26801922 27075411 28078204 34459614 36100548 40202883 42117306 49136857 53603844 54150822 63175959 68919228 80405766 84234612 98273714 108301644 120608649 126351918 147410571 160811532 189527877 196547428 241217298 252703836 294821142 379055754 442231713 482434596 589642284 758111508 884463426 1326695139 1768926852 2653390278 5306780556