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20648405800 = 23521119225999
BaseRepresentation
bin10011001110101111…
…011010101100101000
31222022000121200210101
4103032233122230220
5314241442441200
613252530555144
71330454360551
oct231657325450
958260550711
1020648405800
118836539990
124003138ab4
131c40b210c9
14ddc46d328
1580cb4b26a
hex4cebdab28

20648405800 has 144 divisors (see below), whose sum is σ = 55275480000. Its totient is φ = 7113052800.

The previous prime is 20648405783. The next prime is 20648405803. The reversal of 20648405800 is 850484602.

It is a self number, because there is not a number n which added to its sum of digits gives 20648405800.

It is not an unprimeable number, because it can be changed into a prime (20648405803) 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 35 ways as a sum of consecutive naturals, for example, 781201 + ... + 807199.

It is an arithmetic number, because the mean of its divisors is an integer number (383857500).

Almost surely, 220648405800 is an apocalyptic number.

20648405800 is a gapful number since it is divisible by the number (20) 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 20648405800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27637740000).

20648405800 is an abundant number, since it is smaller than the sum of its proper divisors (34627074200).

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

20648405800 is a wasteful number, since it uses less digits than its factorization.

20648405800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26064 (or 26036 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 20648405800 in words is "twenty billion, six hundred forty-eight million, four hundred five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 152 190 200 209 220 275 361 380 418 440 475 550 722 760 836 950 1045 1100 1444 1672 1805 1900 2090 2200 2888 3610 3800 3971 4180 5225 7220 7942 8360 9025 10450 14440 15884 18050 19855 20900 25999 31768 36100 39710 41800 51998 72200 79420 99275 103996 129995 158840 198550 207992 259990 285989 397100 493981 519980 571978 649975 794200 987962 1039960 1143956 1299950 1429945 1975924 2287912 2469905 2599900 2859890 3951848 4939810 5199800 5433791 5719780 7149725 9385639 9879620 10867582 11439560 12349525 14299450 18771278 19759240 21735164 24699050 27168955 28598900 37542556 43470328 46928195 49398100 54337910 57197800 75085112 93856390 98796200 103242029 108675820 135844775 187712780 206484058 217351640 234640975 271689550 375425560 412968116 469281950 516210145 543379100 825936232 938563900 1032420290 1086758200 1877127800 2064840580 2581050725 4129681160 5162101450 10324202900 20648405800