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6505316136 = 23321123215527
BaseRepresentation
bin1100000111011111…
…10011111100101000
3121210100220022002200
412003233303330220
5101310330104021
62553303300200
7320131163154
oct60357637450
917710808080
106505316136
112839099330
12131674a660
137c89927b7
14459d8a064
152811a1126
hex183bf3f28

6505316136 has 144 divisors (see below), whose sum is σ = 20093542560. Its totient is φ = 1885477440.

The previous prime is 6505316131. The next prime is 6505316137. The reversal of 6505316136 is 6316135056.

6505316136 is a `hidden beast` number, since 6 + 5 + 0 + 5 + 31 + 613 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6505316136.

It is not an unprimeable number, because it can be changed into a prime (6505316131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 411205 + ... + 426731.

It is an arithmetic number, because the mean of its divisors is an integer number (139538490).

Almost surely, 26505316136 is an apocalyptic number.

6505316136 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6505316136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10046771280).

6505316136 is an abundant number, since it is smaller than the sum of its proper divisors (13588226424).

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

6505316136 is a wasteful number, since it uses less digits than its factorization.

6505316136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15596 (or 15566 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 6505316136 is about 80655.5400205094. The cubic root of 6505316136 is about 1866.7642227642.

The spelling of 6505316136 in words is "six billion, five hundred five million, three hundred sixteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 184 198 207 253 264 276 396 414 506 529 552 759 792 828 1012 1058 1518 1587 1656 2024 2116 2277 3036 3174 4232 4554 4761 5819 6072 6348 9108 9522 11638 12696 15527 17457 18216 19044 23276 31054 34914 38088 46552 46581 52371 62108 69828 93162 104742 124216 139656 139743 170797 186324 209484 279486 341594 357121 372648 418968 512391 558972 683188 714242 1024782 1071363 1117944 1366376 1428484 1537173 2049564 2142726 2856968 3074346 3214089 3928331 4099128 4285452 6148692 6428178 7856662 8213783 8570904 11784993 12297384 12856356 15713324 16427566 23569986 24641349 25712712 31426648 32855132 35354979 47139972 49282698 65710264 70709958 73924047 90351613 94279944 98565396 141419916 147848094 180703226 197130792 271054839 282839832 295696188 361406452 542109678 591392376 722812904 813164517 1084219356 1626329034 2168438712 3252658068 6505316136