Search a number
-
+
16621157540240 = 24511101883921157
BaseRepresentation
bin1111000111011110101000…
…1100001110000110010000
32011211222010001021021011022
43301313222030032012100
54134310112312241430
655203353201535012
73333560531004341
oct361675214160620
964758101237138
1016621157540240
115328aa2134110
121a45360044468
139374a35995a6
1441667b0c40c8
151dc54b4144e5
hexf1dea30e190

16621157540240 has 160 divisors (see below), whose sum is σ = 42581527822080. Its totient is φ = 5983255296000.

The previous prime is 16621157540219. The next prime is 16621157540261. The reversal of 16621157540240 is 4204575112661.

It is an interprime number because it is at equal distance from previous prime (16621157540219) and next prime (16621157540261).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 16621157540191 and 16621157540200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 785599742 + ... + 785620898.

It is an arithmetic number, because the mean of its divisors is an integer number (266134548888).

Almost surely, 216621157540240 is an apocalyptic number.

16621157540240 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 16621157540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21290763911040).

16621157540240 is an abundant number, since it is smaller than the sum of its proper divisors (25960370281840).

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

16621157540240 is a wasteful number, since it uses less digits than its factorization.

16621157540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30121 (or 30115 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 16621157540240 in words is "sixteen trillion, six hundred twenty-one billion, one hundred fifty-seven million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 8080 8839 8888 11110 17678 17776 21157 22220 35356 42314 44195 44440 70712 84628 88390 88880 97229 105785 141424 169256 176780 194458 211570 232727 338512 353560 388916 423140 465454 486145 707120 777832 846280 892739 930908 972290 1163635 1555664 1692560 1785478 1861816 1944580 2136857 2327270 3570956 3723632 3889160 4273714 4463695 4654540 7141912 7778320 8547428 8927390 9309080 9820129 10684285 14283824 17094856 17854780 18618160 19640258 21368570 23505427 34189712 35709560 39280516 42737140 47010854 49100645 71419120 78561032 85474280 94021708 98201290 117527135 157122064 170948560 187006723 188043416 196402580 235054270 374013446 376086832 392805160 470108540 748026892 785610320 935033615 940217080 1496053784 1870067230 1880434160 2057073953 2992107568 3740134460 4114147906 7480268920 8228295812 10285369765 14960537840 16456591624 18887679023 20570739530 32913183248 37775358046 41141479060 75550716092 82282958120 94438395115 151101432184 164565916240 188876790230 207764469253 302202864368 377753580460 415528938506 755507160920 831057877012 1038822346265 1511014321840 1662115754024 2077644692530 3324231508048 4155289385060 8310578770120 16621157540240