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20992273691064 = 233131917871981649
BaseRepresentation
bin1001100010111101001010…
…00001000011000110111000
32202022211201122110202210120
410301132211001003012320
510222414134031103224
6112351414543013240
74264433053153614
oct461364501030670
982284648422716
1020992273691064
11676385625a745
122430539b9a220
13b93741955330
145280624c2344
152660cd165779
hex1317a50431b8

20992273691064 has 128 divisors (see below), whose sum is σ = 59525595360000. Its totient is φ = 6115777910784.

The previous prime is 20992273691063. The next prime is 20992273691161. The reversal of 20992273691064 is 46019637229902.

It is a junction number, because it is equal to n+sod(n) for n = 20992273690989 and 20992273691007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20992273691063) 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 31 ways as a sum of consecutive naturals, for example, 9602512 + ... + 11584160.

It is an arithmetic number, because the mean of its divisors is an integer number (465043713750).

Almost surely, 220992273691064 is an apocalyptic number.

20992273691064 is a gapful number since it is divisible by the number (24) 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 20992273691064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29762797680000).

20992273691064 is an abundant number, since it is smaller than the sum of its proper divisors (38533321668936).

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

20992273691064 is a wasteful number, since it uses less digits than its factorization.

20992273691064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983477 (or 1983473 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The spelling of 20992273691064 in words is "twenty trillion, nine hundred ninety-two billion, two hundred seventy-three million, six hundred ninety-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1787 1976 2964 3574 5361 5928 7148 10722 14296 21444 23231 33953 42888 46462 67906 69693 92924 101859 135812 139386 185848 203718 271624 278772 407436 441389 557544 814872 882778 1324167 1765556 1981649 2648334 3531112 3963298 5296668 5944947 7926596 10593336 11889894 15853192 23779788 25761437 37651331 47559576 51522874 75302662 77284311 103045748 112953993 150605324 154568622 206091496 225907986 301210648 309137244 451815972 489467303 618274488 903631944 978934606 1468401909 1957869212 2936803818 3541206763 3915738424 5873607636 7082413526 10623620289 11747215272 14164827052 21247240578 28329654104 42494481156 46035687919 67282928497 84988962312 92071375838 134565856994 138107063757 184142751676 201848785491 269131713988 276214127514 368285503352 403697570982 538263427976 552428255028 807395141964 874678070461 1104856510056 1614790283928 1749356140922 2624034211383 3498712281844 5248068422766 6997424563688 10496136845532 20992273691064