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8073470080 = 275132933461
BaseRepresentation
bin1111000010011011…
…10110000010000000
3202211122122202220101
413201031312002000
5113013302020310
63413042252144
7404032235434
oct74115660200
922748582811
108073470080
113473299625
121693957054
139b8828240
145683509c4
15323bae43a
hex1e1376080

8073470080 has 128 divisors (see below), whose sum is σ = 21502681200. Its totient is φ = 2878095360.

The previous prime is 8073470077. The next prime is 8073470099. The reversal of 8073470080 is 800743708.

It can be written as a sum of positive squares in 8 ways, for example, as 2072798784 + 6000671296 = 45528^2 + 77464^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224550 + ... + 258010.

Almost surely, 28073470080 is an apocalyptic number.

8073470080 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 8073470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10751340600).

8073470080 is an abundant number, since it is smaller than the sum of its proper divisors (13429211120).

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

8073470080 is a wasteful number, since it uses less digits than its factorization.

8073470080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33522 (or 33510 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 8073470080 is about 89852.4906722123. The cubic root of 8073470080 is about 2006.1038591673.

The spelling of 8073470080 in words is "eight billion, seventy-three million, four hundred seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 64 65 80 104 116 128 130 145 160 208 232 260 290 320 377 416 464 520 580 640 754 832 928 1040 1160 1508 1664 1856 1885 2080 2320 3016 3712 3770 4160 4640 6032 7540 8320 9280 12064 15080 18560 24128 30160 33461 48256 60320 66922 120640 133844 167305 241280 267688 334610 434993 535376 669220 869986 970369 1070752 1338440 1739972 1940738 2141504 2174965 2676880 3479944 3881476 4283008 4349930 4851845 5353760 6959888 7762952 8699860 9703690 10707520 12614797 13919776 15525904 17399720 19407380 21415040 25229594 27839552 31051808 34799440 38814760 50459188 55679104 62103616 63073985 69598880 77629520 100918376 124207232 126147970 139197760 155259040 201836752 252295940 278395520 310518080 403673504 504591880 621036160 807347008 1009183760 1614694016 2018367520 4036735040 8073470080