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4865078120 = 235730756597
BaseRepresentation
bin1001000011111101…
…10011001101101000
3110120001111120112112
410201332303031220
534430424444440
62122431301452
7231363324140
oct44176631550
913501446475
104865078120
112077234221
12b3937a888
135c6c0ba66
143421bd920
151d71a4965
hex121fb3368

4865078120 has 64 divisors (see below), whose sum is σ = 12551172480. Its totient is φ = 1662564096.

The previous prime is 4865078107. The next prime is 4865078137. The reversal of 4865078120 is 218705684.

It is a super-2 number, since 2×48650781202 = 47337970227405468800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 57662 + ... + 114258.

It is an arithmetic number, because the mean of its divisors is an integer number (196112070).

Almost surely, 24865078120 is an apocalyptic number.

4865078120 is a gapful number since it is divisible by the number (40) 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 4865078120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6275586240).

4865078120 is an abundant number, since it is smaller than the sum of its proper divisors (7686094360).

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

4865078120 is a wasteful number, since it uses less digits than its factorization.

4865078120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56922 (or 56918 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 4865078120 is about 69750.1119712363. Note that the first 3 decimals coincide. The cubic root of 4865078120 is about 1694.4546088323.

The spelling of 4865078120 in words is "four billion, eight hundred sixty-five million, seventy-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 307 614 1228 1535 2149 2456 3070 4298 6140 8596 10745 12280 17192 21490 42980 56597 85960 113194 226388 282985 396179 452776 565970 792358 1131940 1584716 1980895 2263880 3169432 3961790 7923580 15847160 17375279 34750558 69501116 86876395 121626953 139002232 173752790 243253906 347505580 486507812 608134765 695011160 973015624 1216269530 2432539060 4865078120