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20305236480 = 29353138447
BaseRepresentation
bin10010111010010010…
…010101001000000000
31221102002212212222120
4102322102111020000
5313041120031410
613154511404240
71316116443114
oct227222251000
957362785876
1020305236480
11867a85a781
123b28223680
131bb79ba039
14da8a5d744
157dc961570
hex4ba495200

20305236480 has 160 divisors (see below), whose sum is σ = 65128402944. Its totient is φ = 5396791296.

The previous prime is 20305236467. The next prime is 20305236481. The reversal of 20305236480 is 8463250302.

It is a happy number.

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 (20305236481) 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, 2399617 + ... + 2408063.

Almost surely, 220305236480 is an apocalyptic number.

20305236480 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 20305236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32564201472).

20305236480 is an abundant number, since it is smaller than the sum of its proper divisors (44823166464).

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

20305236480 is an equidigital number, since it uses as much as digits as its factorization.

20305236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8786 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 20305236480 its reverse (8463250302), we get a palindrome (28768486782).

The spelling of 20305236480 in words is "twenty billion, three hundred five million, two hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 313 320 384 480 512 626 640 768 939 960 1252 1280 1536 1565 1878 1920 2504 2560 3130 3756 3840 4695 5008 6260 7512 7680 8447 9390 10016 12520 15024 16894 18780 20032 25040 25341 30048 33788 37560 40064 42235 50080 50682 60096 67576 75120 80128 84470 100160 101364 120192 126705 135152 150240 160256 168940 200320 202728 240384 253410 270304 300480 337880 400640 405456 480768 506820 540608 600960 675760 801280 810912 1013640 1081216 1201920 1351520 1621824 2027280 2162432 2403840 2643911 2703040 3243648 4054560 4324864 5287822 5406080 6487296 7931733 8109120 10575644 10812160 12974592 13219555 15863466 16218240 21151288 21624320 26439110 31726932 32436480 39658665 42302576 52878220 63453864 64872960 79317330 84605152 105756440 126907728 158634660 169210304 211512880 253815456 317269320 338420608 423025760 507630912 634538640 676841216 846051520 1015261824 1269077280 1353682432 1692103040 2030523648 2538154560 3384206080 4061047296 5076309120 6768412160 10152618240 20305236480