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20033288520 = 2335733770769
BaseRepresentation
bin10010101010000100…
…111011100101001000
31220201011011111111220
4102222010323211020
5312012010213040
613111514522040
71306305066660
oct225204734510
956634144456
1020033288520
1185502a61a3
123a71136320
131b7356169b
14d808ad1a0
157c3b442d0
hex4aa13b948

20033288520 has 128 divisors (see below), whose sum is σ = 68890348800. Its totient is φ = 4565385216.

The previous prime is 20033288501. The next prime is 20033288531. The reversal of 20033288520 is 2588233002.

It is a Cunningham number, because it is equal to 1415392-1.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247696 + ... + 318464.

It is an arithmetic number, because the mean of its divisors is an integer number (538205850).

Almost surely, 220033288520 is an apocalyptic number.

20033288520 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 20033288520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34445174400).

20033288520 is an abundant number, since it is smaller than the sum of its proper divisors (48857060280).

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

20033288520 is a wasteful number, since it uses less digits than its factorization.

20033288520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71127 (or 71123 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

It can be divided in two parts, 200 and 33288520, that added together give a triangular number (33288720 = T8159).

The spelling of 20033288520 in words is "twenty billion, thirty-three million, two hundred eighty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 337 420 674 840 1011 1348 1685 2022 2359 2696 3370 4044 4718 5055 6740 7077 8088 9436 10110 11795 13480 14154 18872 20220 23590 28308 35385 40440 47180 56616 70769 70770 94360 141538 141540 212307 283076 283080 353845 424614 495383 566152 707690 849228 990766 1061535 1415380 1486149 1698456 1981532 2123070 2476915 2830760 2972298 3963064 4246140 4953830 5944596 7430745 8492280 9907660 11889192 14861490 19815320 23849153 29722980 47698306 59445960 71547459 95396612 119245765 143094918 166944071 190793224 238491530 286189836 333888142 357737295 476983060 500832213 572379672 667776284 715474590 834720355 953966120 1001664426 1335552568 1430949180 1669440710 2003328852 2504161065 2861898360 3338881420 4006657704 5008322130 6677762840 10016644260 20033288520