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21338660000 = 25547152419
BaseRepresentation
bin10011110111111000…
…100001110010100000
32001002010110020112202
4103313320201302200
5322200144110000
613445225312332
71353535421510
oct236770416240
961063406482
1021338660000
1190601320a9
1241763356a8
132020b2a548
141065dcb840
1584d545dd5
hex4f7e21ca0

21338660000 has 120 divisors (see below), whose sum is σ = 59996170080. Its totient is φ = 7316064000.

The previous prime is 21338659999. The next prime is 21338660033. The reversal of 21338660000 is 6683312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63791 + ... + 216209.

It is an arithmetic number, because the mean of its divisors is an integer number (499968084).

Almost surely, 221338660000 is an apocalyptic number.

21338660000 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 21338660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998085040).

21338660000 is an abundant number, since it is smaller than the sum of its proper divisors (38657510080).

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

21338660000 is an equidigital number, since it uses as much as digits as its factorization.

21338660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152456 (or 152433 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 21338660000 in words is "twenty-one billion, three hundred thirty-eight million, six hundred sixty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3500 4000 4375 5000 5600 7000 8750 10000 14000 17500 20000 28000 35000 70000 140000 152419 304838 609676 762095 1066933 1219352 1524190 2133866 2438704 3048380 3810475 4267732 4877408 5334665 6096760 7620950 8535464 10669330 12193520 15241900 17070928 19052375 21338660 24387040 26673325 30483800 34141856 38104750 42677320 53346650 60967600 76209500 85354640 95261875 106693300 121935200 133366625 152419000 170709280 190523750 213386600 266733250 304838000 381047500 426773200 533466500 609676000 666833125 762095000 853546400 1066933000 1333666250 1524190000 2133866000 2667332500 3048380000 4267732000 5334665000 10669330000 21338660000