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20666618112 = 283715712447
BaseRepresentation
bin10011001111110100…
…111001000100000000
31222100021212222101110
4103033310321010000
5314311123234422
613254421203320
71331065232640
oct231764710400
958307788343
1020666618112
118845849088
124009260540
131c4482991a
141000a50520
1580e54760c
hex4cfd39100

20666618112 has 144 divisors (see below), whose sum is σ = 62926682112. Its totient is φ = 5898577920.

The previous prime is 20666618083. The next prime is 20666618197. The reversal of 20666618112 is 21181666602.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8444473 + ... + 8446919.

It is an arithmetic number, because the mean of its divisors is an integer number (436990848).

Almost surely, 220666618112 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 20666618112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31463341056).

20666618112 is an abundant number, since it is smaller than the sum of its proper divisors (42260064000).

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

20666618112 is a wasteful number, since it uses less digits than its factorization.

20666618112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 20666618112 in words is "twenty billion, six hundred sixty-six million, six hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1571 1792 2447 2688 3142 4713 4894 5376 6284 7341 9426 9788 10997 12568 14682 17129 18852 19576 21994 25136 29364 32991 34258 37704 39152 43988 50272 51387 58728 65982 68516 75408 78304 87976 100544 102774 117456 131964 137032 150816 156608 175952 201088 205548 234912 263928 274064 301632 313216 351904 402176 411096 469824 527856 548128 603264 626432 703808 822192 939648 1055712 1096256 1206528 1407616 1644384 1879296 2111424 2192512 2815232 3288768 3844237 4222848 4385024 6577536 7688474 8445696 11532711 13155072 15376948 23065422 26909659 30753896 46130844 53819318 61507792 80728977 92261688 107638636 123015584 161457954 184523376 215277272 246031168 322915908 369046752 430554544 492062336 645831816 738093504 861109088 984124672 1291663632 1476187008 1722218176 2583327264 2952374016 3444436352 5166654528 6888872704 10333309056 20666618112