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20824110208 = 2711236131049
BaseRepresentation
bin10011011001001101…
…101011010010000000
31222202021020101221001
4103121031223102000
5320121433011313
613322204541344
71335020005366
oct233115532200
958667211831
1020824110208
118916738240
124051b51854
131c6b34ca05
141017929636
1581d2a6add
hex4d936b480

20824110208 has 128 divisors (see below), whose sum is σ = 47346768000. Its totient is φ = 9030574080.

The previous prime is 20824110199. The next prime is 20824110233. The reversal of 20824110208 is 80201142802.

It is a tau number, because it is divible by the number of its divisors (128).

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, 19850868 + ... + 19851916.

It is an arithmetic number, because the mean of its divisors is an integer number (369896625).

Almost surely, 220824110208 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 20824110208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23673384000).

20824110208 is an abundant number, since it is smaller than the sum of its proper divisors (26522657792).

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

20824110208 is a wasteful number, since it uses less digits than its factorization.

20824110208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The spelling of 20824110208 in words is "twenty billion, eight hundred twenty-four million, one hundred ten thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 506 613 704 736 1012 1049 1226 1408 1472 2024 2098 2452 2944 4048 4196 4904 6743 8096 8392 9808 11539 13486 14099 16192 16784 19616 23078 24127 26972 28198 32384 33568 39232 46156 48254 53944 56396 67136 78464 92312 96508 107888 112792 134272 155089 184624 193016 215776 225584 265397 310178 369248 386032 431552 451168 530794 620356 643037 738496 772064 863104 902336 1061588 1240712 1286074 1476992 1544128 1804672 2123176 2481424 2572148 3088256 4246352 4962848 5144296 7073407 8492704 9925696 10288592 14146814 14789851 16985408 19851392 20577184 28293628 29579702 33970816 41154368 56587256 59159404 82308736 113174512 118318808 162688361 226349024 236637616 325376722 452698048 473275232 650753444 905396096 946550464 1301506888 1893100928 2603013776 5206027552 10412055104 20824110208