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9045359568 = 2432726933359
BaseRepresentation
bin10000110110010010…
…10011101111010000
3212100101102212122100
420123021103233100
5122011103001233
64053321240400
7440103200460
oct103311235720
925311385570
109045359568
113921962583
121905333100
13b11ca248b
1461b461ba0
1537e18b813
hex21b253bd0

9045359568 has 120 divisors (see below), whose sum is σ = 29039212800. Its totient is φ = 2574703872.

The previous prime is 9045359567. The next prime is 9045359593. The reversal of 9045359568 is 8659535409.

It is a happy number.

9045359568 is a `hidden beast` number, since 9 + 0 + 45 + 3 + 595 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9045359567) 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, 254473 + ... + 287831.

It is an arithmetic number, because the mean of its divisors is an integer number (241993440).

Almost surely, 29045359568 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 9045359568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14519606400).

9045359568 is an abundant number, since it is smaller than the sum of its proper divisors (19993853232).

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

9045359568 is a wasteful number, since it uses less digits than its factorization.

9045359568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33649 (or 33640 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The square root of 9045359568 is about 95107.0952558220. The cubic root of 9045359568 is about 2083.5724762594.

The spelling of 9045359568 in words is "nine billion, forty-five million, three hundred fifty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 269 336 504 538 807 1008 1076 1614 1883 2152 2421 3228 3766 4304 4842 5649 6456 7532 9684 11298 12912 15064 16947 19368 22596 30128 33359 33894 38736 45192 66718 67788 90384 100077 133436 135576 200154 233513 266872 271152 300231 400308 467026 533744 600462 700539 800616 934052 1200924 1401078 1601232 1868104 2101617 2401848 2802156 3736208 4203234 4803696 5604312 8406468 8973571 11208624 16812936 17947142 26920713 33625872 35894284 53841426 62814997 71788568 80762139 107682852 125629994 143577136 161524278 188444991 215365704 251259988 323048556 376889982 430731408 502519976 565334973 646097112 753779964 1005039952 1130669946 1292194224 1507559928 2261339892 3015119856 4522679784 9045359568