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8481320880 = 243561357649
BaseRepresentation
bin1111110011000011…
…01010111110110000
3210220002002202000120
413321201222332300
5114332204232010
63521332050240
7420114016014
oct77141527660
923802082016
108481320880
1136625369aa
121788463980
13a52188086
145a659a544
153498c3e70
hex1f986afb0

8481320880 has 80 divisors (see below), whose sum is σ = 26335442400. Its totient is φ = 2257956864.

The previous prime is 8481320843. The next prime is 8481320941. The reversal of 8481320880 is 880231848.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 118296 + ... + 175944.

It is an arithmetic number, because the mean of its divisors is an integer number (329193030).

Almost surely, 28481320880 is an apocalyptic number.

8481320880 is a gapful number since it is divisible by the number (80) 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 8481320880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167721200).

8481320880 is an abundant number, since it is smaller than the sum of its proper divisors (17854121520).

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

8481320880 is a wasteful number, since it uses less digits than its factorization.

8481320880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58278 (or 58272 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 8481320880 is about 92094.0871066107. The cubic root of 8481320880 is about 2039.3315187646.

The spelling of 8481320880 in words is "eight billion, four hundred eighty-one million, three hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 613 1226 1839 2452 3065 3678 4904 6130 7356 9195 9808 12260 14712 18390 24520 29424 36780 49040 57649 73560 115298 147120 172947 230596 288245 345894 461192 576490 691788 864735 922384 1152980 1383576 1729470 2305960 2767152 3458940 4611920 6917880 13835760 35338837 70677674 106016511 141355348 176694185 212033022 282710696 353388370 424066044 530082555 565421392 706776740 848132088 1060165110 1413553480 1696264176 2120330220 2827106960 4240660440 8481320880