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20668173834 = 23721124871193
BaseRepresentation
bin10011001111111010…
…110100111000001010
31222100101211000102210
4103033322310320022
5314312023030314
613254514405550
71331114402400
oct231772647012
958311730383
1020668173834
118846710a00
1240098908b6
131c44c52a79
141000d37470
1580e753559
hex4cfeb4e0a

20668173834 has 144 divisors (see below), whose sum is σ = 53006837184. Its totient is φ = 5352842880.

The previous prime is 20668173833. The next prime is 20668173847. The reversal of 20668173834 is 43837186602.

It is not an unprimeable number, because it can be changed into a prime (20668173833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17323942 + ... + 17325134.

It is an arithmetic number, because the mean of its divisors is an integer number (368103036).

Almost surely, 220668173834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20668173834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26503418592).

20668173834 is an abundant number, since it is smaller than the sum of its proper divisors (32338663350).

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

20668173834 is a wasteful number, since it uses less digits than its factorization.

20668173834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 20668173834 in words is "twenty billion, six hundred sixty-eight million, one hundred seventy-three thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 121 147 154 231 242 294 363 462 487 539 726 847 974 1078 1193 1461 1617 1694 2386 2541 2922 3234 3409 3579 5082 5357 5929 6818 7158 8351 10227 10714 11858 13123 16071 16702 17787 20454 23863 25053 26246 32142 35574 37499 39369 47726 50106 58457 58927 71589 74998 78738 91861 112497 116914 117854 143178 144353 175371 176781 183722 224994 262493 275583 288706 350742 353562 412489 433059 524986 551166 580991 643027 787479 824978 866118 1010471 1161982 1237467 1286054 1574958 1742973 1929081 2020942 2474934 2887423 3031413 3485946 3858162 4066937 5774846 6062826 6390901 7073297 8133874 8662269 12200811 12781802 14146594 17324538 19172703 21219891 24401622 28468559 38345406 42439782 44736307 56937118 70299911 85405677 89472614 134208921 140599822 170811354 210899733 268417842 313154149 421799466 492099377 626308298 939462447 984198754 1476298131 1878924894 2952596262 3444695639 6889391278 10334086917 20668173834