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21526160231120 = 2452931417300171
BaseRepresentation
bin1001110010011111100110…
…01000100100101011010000
32211012212210010012002002012
410321033303020210223100
510310141034004343440
6113440552000242052
74351133213653556
oct471176310445320
984185703162065
1021526160231120
11694a2142a0246
1224b7ab7610328
13c01ba641272c
14545c2bdabbd6
15274e28bd4e65
hex1393f3224ad0

21526160231120 has 160 divisors (see below), whose sum is σ = 54747785917440. Its totient is φ = 7849142784000.

The previous prime is 21526160231111. The next prime is 21526160231137. The reversal of 21526160231120 is 2113206162512.

It is a congruent number.

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, 701366 + ... + 6598805.

It is an arithmetic number, because the mean of its divisors is an integer number (342173661984).

Almost surely, 221526160231120 is an apocalyptic number.

21526160231120 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 21526160231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27373892958720).

21526160231120 is an abundant number, since it is smaller than the sum of its proper divisors (33221625686320).

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

21526160231120 is a wasteful number, since it uses less digits than its factorization.

21526160231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7300285 (or 7300279 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

Adding to 21526160231120 its reverse (2113206162512), we get a palindrome (23639366393632).

The spelling of 21526160231120 in words is "twenty-one trillion, five hundred twenty-six billion, one hundred sixty million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 31 40 41 58 62 80 82 116 124 145 155 164 205 232 248 290 310 328 410 464 496 580 620 656 820 899 1160 1189 1240 1271 1640 1798 2320 2378 2480 2542 3280 3596 4495 4756 5084 5945 6355 7192 8990 9512 10168 11890 12710 14384 17980 19024 20336 23780 25420 35960 36859 47560 50840 71920 73718 95120 101680 147436 184295 294872 368590 589744 737180 1474360 2948720 7300171 14600342 29200684 36500855 58401368 73001710 116802736 146003420 211704959 226305301 292006840 299307011 423409918 452610602 584013680 598614022 846819836 905221204 1058524795 1131526505 1197228044 1496535055 1693639672 1810442408 2117049590 2263053010 2394456088 2993070110 3387279344 3620884816 4234099180 4526106020 4788912176 5986140220 6562853729 8468198360 8679903319 9052212040 9278517341 11972280440 13125707458 16936396720 17359806638 18104424080 18557034682 23944560880 26251414916 32814268645 34719613276 37114069364 43399516595 46392586705 52502829832 65628537290 69439226552 74228138728 86799033190 92785173410 105005659664 131257074580 138878453104 148456277456 173598066380 185570346820 262514149160 269077002889 347196132760 371140693640 525028298320 538154005778 694392265520 742281387280 1076308011556 1345385014445 2152616023112 2690770028890 4305232046224 5381540057780 10763080115560 21526160231120