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5086466535888 = 2432891117735509
BaseRepresentation
bin100101000000100100100…
…0001111111000111010000
3200000021001121011021000100
41022001021001333013100
51131314040413122023
614452405050252400
71033325245122063
oct112011101770720
920007047137010
105086466535888
111691181834781
126a195b427100
132ab861b3127a
141382872948da
158c49d780c43
hex4a04907f1d0

5086466535888 has 120 divisors (see below), whose sum is σ = 14396679390600. Its totient is φ = 1676241211392.

The previous prime is 5086466535859. The next prime is 5086466535961. The reversal of 5086466535888 is 8885356646805.

It is a happy number.

5086466535888 is a `hidden beast` number, since 5 + 0 + 8 + 6 + 4 + 6 + 6 + 535 + 8 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 217241752464 + 4869224783424 = 466092^2 + 2206632^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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 23 ways as a sum of consecutive naturals, for example, 143226678 + ... + 143262186.

It is an arithmetic number, because the mean of its divisors is an integer number (119972328255).

Almost surely, 25086466535888 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 5086466535888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7198339695300).

5086466535888 is an abundant number, since it is smaller than the sum of its proper divisors (9310212854712).

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

5086466535888 is a wasteful number, since it uses less digits than its factorization.

5086466535888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46789 (or 46780 counting only the distinct ones).

The product of its (nonzero) digits is 1327104000, while the sum is 72.

The spelling of 5086466535888 in words is "five trillion, eighty-six billion, four hundred sixty-six million, five hundred thirty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 3204 4272 6408 11177 12816 22354 33531 35509 44708 67062 71018 89416 100593 106527 134124 142036 178832 201186 213054 268248 284072 319581 402372 426108 536496 568144 639162 804744 852216 994753 1278324 1609488 1704432 1989506 2556648 2984259 3160301 3979012 5113296 5968518 6320602 7958024 8952777 9480903 11937036 12641204 15916048 17905554 18961806 23874072 25282408 28442709 35811108 37923612 47748144 50564816 56885418 71622216 75847224 113770836 143244432 151694448 227541672 396884093 455083344 793768186 1190652279 1587536372 2381304558 3175072744 3571956837 4762609116 6350145488 7143913674 9525218232 14287827348 19050436464 28575654696 35322684277 57151309392 70645368554 105968052831 141290737108 211936105662 282581474216 317904158493 423872211324 565162948432 635808316986 847744422648 1271616633972 1695488845296 2543233267944 5086466535888