Search a number
-
+
20541813823300 = 22527112991992001
BaseRepresentation
bin1001010101110110000111…
…00001000001011101000100
32200201210000022202112012111
410222323003201001131010
510143024113314321200
6111404440132430404
74220045203361530
oct452730341013504
980653008675174
1020541813823300
1165aa8094198a0
122379183a78404
13b60114203c93
1451032c8c2bc0
1525951683a0ba
hex12aec3841744

20541813823300 has 144 divisors (see below), whose sum is σ = 57491321569920. Its totient is φ = 6181862400000.

The previous prime is 20541813823261. The next prime is 20541813823337. The reversal of 20541813823300 is 332831814502.

It is a super-2 number, since 2×205418138233002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 45772701 + ... + 46219300.

It is an arithmetic number, because the mean of its divisors is an integer number (399245288680).

Almost surely, 220541813823300 is an apocalyptic number.

20541813823300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20541813823300 is an abundant number, since it is smaller than the sum of its proper divisors (36949507746620).

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

20541813823300 is a wasteful number, since it uses less digits than its factorization.

20541813823300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91992062 (or 91992055 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 20541813823300 in words is "twenty trillion, five hundred forty-one billion, eight hundred thirteen million, eight hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 29 35 44 50 55 58 70 77 100 110 116 140 145 154 175 203 220 275 290 308 319 350 385 406 550 580 638 700 725 770 812 1015 1100 1276 1450 1540 1595 1925 2030 2233 2900 3190 3850 4060 4466 5075 6380 7700 7975 8932 10150 11165 15950 20300 22330 31900 44660 55825 111650 223300 91992001 183984002 367968004 459960005 643944007 919920010 1011912011 1287888014 1839840020 2023824022 2299800025 2575776028 2667768029 3219720035 4047648044 4599600050 5059560055 5335536058 6439440070 7083384077 9199200100 10119120110 10671072116 12878880140 13338840145 14166768154 16098600175 18674376203 20238240220 25297800275 26677680290 28333536308 29345448319 32197200350 35416920385 37348752406 50595600550 53355360580 58690896638 64394400700 66694200725 70833840770 74697504812 93371881015 101191201100 117381793276 133388401450 141667681540 146727241595 177084601925 186743762030 205418138233 266776802900 293454483190 354169203850 373487524060 410836276466 466859405075 586908966380 708338407700 733636207975 821672552932 933718810150 1027090691165 1467272415950 1867437620300 2054181382330 2934544831900 4108362764660 5135453455825 10270906911650 20541813823300