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20823324216 = 23331145119289
BaseRepresentation
bin10011011001001010…
…101011011000111000
31222202012202110202020
4103121022223120320
5320121232333331
613322140034440
71335010223022
oct233112533070
958665673666
1020823324216
118916250762
124051832a20
131c6b136026
1410177a3012
1581d19dc96
hex4d92ab638

20823324216 has 64 divisors (see below), whose sum is σ = 53777433600. Its totient is φ = 6712224000.

The previous prime is 20823324199. The next prime is 20823324251. The reversal of 20823324216 is 61242332802.

It is a super-2 number, since 2×208233242162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1069900 + ... + 1089188.

It is an arithmetic number, because the mean of its divisors is an integer number (840272400).

Almost surely, 220823324216 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 20823324216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26888716800).

20823324216 is an abundant number, since it is smaller than the sum of its proper divisors (32954109384).

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

20823324216 is a wasteful number, since it uses less digits than its factorization.

20823324216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20780 (or 20776 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 20823324216 in words is "twenty billion, eight hundred twenty-three million, three hundred twenty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1451 2902 4353 5804 8706 11608 17412 19289 34824 38578 44981 57867 77156 89962 115734 134943 154312 179924 231468 269886 359848 462936 539772 597959 1079544 1195918 1793877 2391836 3587754 4783672 7175508 14351016 27988339 55976678 83965017 111953356 167930034 223906712 335860068 671720136 867638509 1735277018 2602915527 3470554036 5205831054 6941108072 10411662108 20823324216