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8540561664 = 283223161167
BaseRepresentation
bin1111111010000111…
…01010000100000000
3211001012120111002200
413331003222010000
5114442340433124
63531245513200
7421433401455
oct77503520400
924035514080
108540561664
113692a19428
1217a4272800
13a6152a5ab
145b03bb82c
1534ebc6bc9
hex1fd0ea100

8540561664 has 108 divisors (see below), whose sum is σ = 25695336576. Its totient is φ = 2723060736.

The previous prime is 8540561599. The next prime is 8540561699. The reversal of 8540561664 is 4661650458.

8540561664 is a `hidden beast` number, since 85 + 4 + 0 + 561 + 6 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27592 + ... + 133575.

Almost surely, 28540561664 is an apocalyptic number.

It is an amenable number.

8540561664 is an abundant number, since it is smaller than the sum of its proper divisors (17154774912).

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

8540561664 is a wasteful number, since it uses less digits than its factorization.

8540561664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161212 (or 161195 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 8540561664 is about 92415.1592759543. The cubic root of 8540561664 is about 2044.0686504134.

The spelling of 8540561664 in words is "eight billion, five hundred forty million, five hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 552 576 736 768 828 1104 1152 1472 1656 2208 2304 2944 3312 4416 5888 6624 8832 13248 17664 26496 52992 161167 322334 483501 644668 967002 1289336 1450503 1934004 2578672 2901006 3706841 3868008 5157344 5802012 7413682 7736016 10314688 11120523 11604024 14827364 15472032 20629376 22241046 23208048 29654728 30944064 33361569 41258752 44482092 46416096 59309456 61888128 66723138 88964184 92832192 118618912 123776256 133446276 177928368 185664384 237237824 266892552 355856736 371328768 474475648 533785104 711713472 948951296 1067570208 1423426944 2135140416 2846853888 4270280832 8540561664