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20484928000 = 2953331967
BaseRepresentation
bin10011000100111111…
…110011001000000000
31221212122000011102001
4103010333303020000
5313423120144000
613224411033344
71323431005105
oct230477631000
957778004361
1020484928000
118762231669
123b7843b854
131c15cb3694
14dc4876aac
157ed60846a
hex4c4ff3200

20484928000 has 160 divisors (see below), whose sum is σ = 51287753088. Its totient is φ = 8160768000.

The previous prime is 20484927997. The next prime is 20484928001. The reversal of 20484928000 is 82948402.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (20484928001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21183517 + ... + 21184483.

Almost surely, 220484928000 is an apocalyptic number.

20484928000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20484928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25643876544).

20484928000 is an abundant number, since it is smaller than the sum of its proper divisors (30802825088).

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

20484928000 is an frugal number, since it uses more digits than its factorization.

20484928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 20484928000 in words is "twenty billion, four hundred eighty-four million, nine hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 331 400 500 512 640 662 800 967 1000 1280 1324 1600 1655 1934 2000 2560 2648 3200 3310 3868 4000 4835 5296 6400 6620 7736 8000 8275 9670 10592 12800 13240 15472 16000 16550 19340 21184 24175 26480 30944 32000 33100 38680 41375 42368 48350 52960 61888 64000 66200 77360 82750 84736 96700 105920 120875 123776 132400 154720 165500 169472 193400 211840 241750 247552 264800 309440 320077 331000 386800 423680 483500 495104 529600 618880 640154 662000 773600 847360 967000 1059200 1237760 1280308 1324000 1547200 1600385 1934000 2118400 2475520 2560616 2648000 3094400 3200770 3868000 4236800 5121232 5296000 6188800 6401540 7736000 8001925 10242464 10592000 12377600 12803080 15472000 16003850 20484928 21184000 25606160 30944000 32007700 40009625 40969856 51212320 61888000 64015400 80019250 81939712 102424640 128030800 160038500 163879424 204849280 256061600 320077000 409698560 512123200 640154000 819397120 1024246400 1280308000 2048492800 2560616000 4096985600 5121232000 10242464000 20484928000