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20585359360 = 21152010289
BaseRepresentation
bin10011001010111110…
…111010100000000000
31222010121222121100001
4103022332322200000
5314124322444420
613242355405344
71326060444646
oct231276724000
958117877301
1020585359360
118803998195
123ba5bb3854
131c30a48617
14dd3d3b196
15807345b0a
hex4cafba800

20585359360 has 48 divisors (see below), whose sum is σ = 49392825300. Its totient is φ = 8234139648.

The previous prime is 20585359357. The next prime is 20585359367. The reversal of 20585359360 is 6395358502.

It can be written as a sum of positive squares in 2 ways, for example, as 19815629824 + 769729536 = 140768^2 + 27744^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20585359360.

It is not an unprimeable number, because it can be changed into a prime (20585359367) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 994905 + ... + 1015384.

Almost surely, 220585359360 is an apocalyptic number.

20585359360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20585359360 is an abundant number, since it is smaller than the sum of its proper divisors (28807465940).

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

20585359360 is an equidigital number, since it uses as much as digits as its factorization.

20585359360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010316 (or 2010296 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 20585359360 in words is "twenty billion, five hundred eighty-five million, three hundred fifty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 10240 2010289 4020578 8041156 10051445 16082312 20102890 32164624 40205780 64329248 80411560 128658496 160823120 257316992 321646240 514633984 643292480 1029267968 1286584960 2058535936 2573169920 4117071872 5146339840 10292679680 20585359360