Search a number
-
+
16531032013600 = 25521312583126323
BaseRepresentation
bin1111000010001110111001…
…0010100111101100100000
32011112100111001012010212011
43300203232102213230200
54131321023143413400
655054130135042304
73324220245451036
oct360435622475440
964470431163764
1016531032013600
1152a3853676aa5
121a2b9a9210394
1392bb3c7669c0
1441216b66c556
151da02403e8ba
hexf08ee4a7b20

16531032013600 has 144 divisors (see below), whose sum is σ = 43464516967872. Its totient is φ = 6103232271360.

The previous prime is 16531032013591. The next prime is 16531032013619. The reversal of 16531032013600 is 631023013561.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130800039 + ... + 130926361.

It is an arithmetic number, because the mean of its divisors is an integer number (301836923388).

Almost surely, 216531032013600 is an apocalyptic number.

16531032013600 is a gapful number since it is divisible by the number (10) 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 16531032013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21732258483936).

16531032013600 is an abundant number, since it is smaller than the sum of its proper divisors (26933484954272).

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

16531032013600 is a wasteful number, since it uses less digits than its factorization.

16531032013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138939 (or 138926 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The spelling of 16531032013600 in words is "sixteen trillion, five hundred thirty-one billion, thirty-two million, thirteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2600 5200 10400 12583 25166 50332 62915 100664 125830 126323 163579 201328 251660 252646 314575 327158 402656 503320 505292 629150 631615 654316 817895 1006640 1010584 1258300 1263230 1308632 1635790 1642199 2013280 2021168 2516600 2526460 2617264 3158075 3271580 3284398 4042336 4089475 5033200 5052920 5234528 6316150 6543160 6568796 8178950 8210995 10066400 10105840 12632300 13086320 13137592 16357900 16421990 20211680 25264600 26172640 26275184 32715800 32843980 41054975 50529200 52550368 65431600 65687960 82109950 101058400 130863200 131375920 164219900 262751840 328439800 656879600 1313759200 1589522309 3179044618 6358089236 7947611545 12716178472 15895223090 20663790017 25432356944 31790446180 39738057725 41327580034 50864713888 63580892360 79476115450 82655160068 103318950085 127161784720 158952230900 165310320136 206637900170 254323569440 317904461800 330620640272 413275800340 516594750425 635808923600 661241280544 826551600680 1033189500850 1271617847200 1653103201360 2066379001700 3306206402720 4132758003400 8265516006800 16531032013600