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21282707712 = 28374196557
BaseRepresentation
bin10011110100100011…
…000101100100000000
32000221020011120102210
4103310203011210000
5322041333121322
613435510142120
71352256013350
oct236443054400
960836146383
1021282707712
119031596342
12415b651940
132012369a96
14105c7c4b60
1584869270c
hex4f48c5900

21282707712 has 144 divisors (see below), whose sum is σ = 66314489472. Its totient is φ = 5932400640.

The previous prime is 21282707707. The next prime is 21282707723. The reversal of 21282707712 is 21770728212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172138 + ... + 268694.

It is an arithmetic number, because the mean of its divisors is an integer number (460517288).

Almost surely, 221282707712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21282707712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33157244736).

21282707712 is an abundant number, since it is smaller than the sum of its proper divisors (45031781760).

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

21282707712 is an equidigital number, since it uses as much as digits as its factorization.

21282707712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96624 (or 96610 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 39.

The spelling of 21282707712 in words is "twenty-one billion, two hundred eighty-two million, seven hundred seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 256 287 328 336 384 448 492 574 656 672 768 861 896 984 1148 1312 1344 1722 1792 1968 2296 2624 2688 3444 3936 4592 5248 5376 6888 7872 9184 10496 13776 15744 18368 27552 31488 36736 55104 73472 96557 110208 193114 220416 289671 386228 579342 675899 772456 1158684 1351798 1544912 2027697 2317368 2703596 3089824 3958837 4055394 4634736 5407192 6179648 7917674 8110788 9269472 10814384 11876511 12359296 15835348 16221576 18538944 21628768 23753022 24718592 27711859 31670696 32443152 37077888 43257536 47506044 55423718 63341392 64886304 74155776 83135577 86515072 95012088 110847436 126682784 129772608 166271154 173030144 190024176 221694872 253365568 259545216 332542308 380048352 443389744 506731136 519090432 665084616 760096704 886779488 1013462272 1330169232 1520193408 1773558976 2660338464 3040386816 3547117952 5320676928 7094235904 10641353856 21282707712