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9055945760 = 255233421577
BaseRepresentation
bin10000110111100011…
…01100010000100000
3212101010100201011112
420123301230100200
5122021310231020
64054340202452
7440262161141
oct103361542040
925333321145
109055945760
1139279330a4
121908999428
13b1423aab4
1461ca19ac8
1538007d2c5
hex21bc6c420

9055945760 has 96 divisors (see below), whose sum is σ = 21574858032. Its totient is φ = 3592028160.

The previous prime is 9055945757. The next prime is 9055945763. The reversal of 9055945760 is 675495509.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9055945757) and next prime (9055945763).

It can be written as a sum of positive squares in 8 ways, for example, as 2460556816 + 6595388944 = 49604^2 + 81212^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9055945699 and 9055945708.

It is not an unprimeable number, because it can be changed into a prime (9055945763) by changing a digit.

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, 15694592 + ... + 15695168.

Almost surely, 29055945760 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 9055945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10787429016).

9055945760 is an abundant number, since it is smaller than the sum of its proper divisors (12518912272).

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

9055945760 is a wasteful number, since it uses less digits than its factorization.

9055945760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 50.

The square root of 9055945760 is about 95162.7330418794. The cubic root of 9055945760 is about 2084.3849922940.

The spelling of 9055945760 in words is "nine billion, fifty-five million, nine hundred forty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 233 421 466 577 842 932 1154 1165 1684 1864 2105 2308 2330 2885 3368 3728 4210 4616 4660 5770 6736 7456 8420 9232 9320 11540 13472 16840 18464 18640 23080 33680 37280 46160 67360 92320 98093 134441 196186 242917 268882 392372 485834 490465 537764 672205 784744 971668 980930 1075528 1214585 1344410 1569488 1943336 1961860 2151056 2429170 2688820 3138976 3886672 3923720 4302112 4858340 5377640 7773344 7847440 9716680 10755280 15694880 19433360 21510560 38866720 56599661 113199322 226398644 282998305 452797288 565996610 905594576 1131993220 1811189152 2263986440 4527972880 9055945760