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20144523560 = 23571136311009
BaseRepresentation
bin10010110000101101…
…010000100100101000
31220222220110211022012
4102300231100210220
5312223444223220
613130531015052
71312125424250
oct226055204450
956886424265
1020144523560
1185a8070787
123aa243a488
131b90609c35
14d91586960
157cd7b7ac5
hex4b0b50928

20144523560 has 128 divisors (see below), whose sum is σ = 52393305600. Its totient is φ = 6827950080.

The previous prime is 20144523557. The next prime is 20144523569. The reversal of 20144523560 is 6532544102.

It is not an unprimeable number, because it can be changed into a prime (20144523569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19964336 + ... + 19965344.

It is an arithmetic number, because the mean of its divisors is an integer number (409322700).

Almost surely, 220144523560 is an apocalyptic number.

20144523560 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 20144523560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26196652800).

20144523560 is an abundant number, since it is smaller than the sum of its proper divisors (32248782040).

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

20144523560 is a wasteful number, since it uses less digits than its factorization.

20144523560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 20144523560 in words is "twenty billion, one hundred forty-four million, five hundred twenty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 452 565 631 791 904 1009 1130 1262 1582 2018 2260 2524 3155 3164 3955 4036 4417 4520 5045 5048 6310 6328 7063 7910 8072 8834 10090 12620 14126 15820 17668 20180 22085 25240 28252 31640 35315 35336 40360 44170 56504 70630 71303 88340 114017 141260 142606 176680 228034 282520 285212 356515 456068 499121 570085 570424 636679 713030 798119 912136 998242 1140170 1273358 1426060 1596238 1996484 2280340 2495605 2546716 2852120 3183395 3192476 3990595 3992968 4456753 4560680 4991210 5093432 6366790 6384952 7981190 8913506 9982420 12733580 15962380 17827012 19964840 22283765 25467160 31924760 35654024 44567530 71944727 89135060 143889454 178270120 287778908 359723635 503613089 575557816 719447270 1007226178 1438894540 2014452356 2518065445 2877789080 4028904712 5036130890 10072261780 20144523560