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4128489360 = 243259775869
BaseRepresentation
bin1111011000010011…
…1011111110010000
3101122201110222201100
43312010323332100
531423343124420
61521355504400
7204210403062
oct36604737620
911581428640
104128489360
111829474186
12972758100
1350a42b718
142b243d732
151926a6190
hexf613bf90

4128489360 has 120 divisors (see below), whose sum is σ = 13881399480. Its totient is φ = 1099616256.

The previous prime is 4128489307. The next prime is 4128489367. The reversal of 4128489360 is 639848214.

It is a happy number.

4128489360 is a `hidden beast` number, since 4 + 1 + 284 + 8 + 9 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 488056464 + 3640432896 = 22092^2 + 60336^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4128489367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 700506 + ... + 706374.

It is an arithmetic number, because the mean of its divisors is an integer number (115678329).

Almost surely, 24128489360 is an apocalyptic number.

4128489360 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 4128489360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940699740).

4128489360 is an abundant number, since it is smaller than the sum of its proper divisors (9752910120).

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

4128489360 is a wasteful number, since it uses less digits than its factorization.

4128489360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6865 (or 6856 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4128489360 is about 64253.3217818348. The cubic root of 4128489360 is about 1604.2192493459.

The spelling of 4128489360 in words is "four billion, one hundred twenty-eight million, four hundred eighty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 977 1954 2931 3908 4885 5862 5869 7816 8793 9770 11724 11738 14655 15632 17586 17607 19540 23448 23476 29310 29345 35172 35214 39080 43965 46896 46952 52821 58620 58690 70344 70428 78160 87930 88035 93904 105642 117240 117380 140688 140856 175860 176070 211284 234480 234760 264105 281712 351720 352140 422568 469520 528210 703440 704280 845136 1056420 1408560 2112840 4225680 5734013 11468026 17202039 22936052 28670065 34404078 45872104 51606117 57340130 68808156 86010195 91744208 103212234 114680260 137616312 172020390 206424468 229360520 258030585 275232624 344040780 412848936 458721040 516061170 688081560 825697872 1032122340 1376163120 2064244680 4128489360