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9312068000 = 25534395303
BaseRepresentation
bin10001010110000101…
…01110000110100000
3220000222022001211102
420223002232012200
5123032342134000
64140005533532
7446522162204
oct105302560640
926028261742
109312068000
113a49468574
12197a7142a8
13b55315011
14644a4ab04
153977c13d5
hex22b0ae1a0

9312068000 has 96 divisors (see below), whose sum is σ = 22936193280. Its totient is φ = 3715641600.

The previous prime is 9312067967. The next prime is 9312068027. The reversal of 9312068000 is 8602139.

It is a super-2 number, since 2×93120680002 (a number of 21 digits) contains 22 as substring.

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, 1753349 + ... + 1758651.

It is an arithmetic number, because the mean of its divisors is an integer number (238918680).

Almost surely, 29312068000 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 9312068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11468096640).

9312068000 is an abundant number, since it is smaller than the sum of its proper divisors (13624125280).

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

9312068000 is a wasteful number, since it uses less digits than its factorization.

9312068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5767 (or 5749 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 9312068000 is about 96499.0569902110. The cubic root of 9312068000 is about 2103.8529416703.

The spelling of 9312068000 in words is "nine billion, three hundred twelve million, sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 439 500 800 878 1000 1756 2000 2195 3512 4000 4390 5303 7024 8780 10606 10975 14048 17560 21212 21950 26515 35120 42424 43900 53030 54875 70240 84848 87800 106060 109750 132575 169696 175600 212120 219500 265150 351200 424240 439000 530300 662875 848480 878000 1060600 1325750 1756000 2121200 2328017 2651500 4242400 4656034 5303000 9312068 10606000 11640085 18624136 21212000 23280170 37248272 46560340 58200425 74496544 93120680 116400850 186241360 232801700 291002125 372482720 465603400 582004250 931206800 1164008500 1862413600 2328017000 4656034000 9312068000