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10662431220054 = 23725755717029
BaseRepresentation
bin1001101100101000101001…
…1011001110000101010110
31101202022121011102220000000
42123022022123032011112
52344143124343020204
634402130413032130
72150222661663165
oct233121233160526
941668534386000
1010662431220054
113440a03500249
12124254a785646
135c460313cc53
1428c0c8ad13dc
1513754aba5039
hex9b28a6ce156

10662431220054 has 128 divisors (see below), whose sum is σ = 24124796092800. Its totient is φ = 3533750820864.

The previous prime is 10662431219977. The next prime is 10662431220151. The reversal of 10662431220054 is 45002213426601.

10662431220054 is a `hidden beast` number, since 1 + 0 + 6 + 624 + 3 + 1 + 2 + 20 + 0 + 5 + 4 = 666.

It is a super-2 number, since 2×106624312200542 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 626125212 + ... + 626142240.

It is an arithmetic number, because the mean of its divisors is an integer number (188474969475).

Almost surely, 210662431220054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10662431220054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12062398046400).

10662431220054 is an abundant number, since it is smaller than the sum of its proper divisors (13462364872746).

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

10662431220054 is an equidigital number, since it uses as much as digits as its factorization.

10662431220054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17866 (or 17848 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 10662431220054 its reverse (45002213426601), we get a palindrome (55664644646655).

The spelling of 10662431220054 in words is "ten trillion, six hundred sixty-two billion, four hundred thirty-one million, two hundred twenty thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 257 486 514 557 729 771 1114 1458 1542 1671 2187 2313 3342 4374 4626 5013 6939 10026 13878 15039 17029 20817 30078 34058 41634 45117 51087 62451 90234 102174 124902 135351 143149 153261 187353 270702 286298 306522 374706 406053 429447 459783 562059 812106 858894 919566 1124118 1218159 1288341 1379349 2436318 2576682 2758698 3865023 4138047 4376453 7730046 8276094 8752906 9485153 11595069 12414141 13129359 18970306 23190138 24828282 26258718 28455459 34785207 37242423 39388077 56910918 69570414 74484846 78776154 85366377 104355621 118164231 170732754 208711242 236328462 256099131 313066863 354492693 512198262 626133726 708985386 768297393 1063478079 1536594786 2126956158 2304892179 2437684321 3190434237 4609784358 4875368642 6380868474 6914676537 7313052963 9571302711 13829353074 14626105926 19142605422 20744029611 21939158889 41488059222 43878317778 65817476667 131634953334 197452430001 394904860002 592357290003 1184714580006 1777071870009 3554143740018 5331215610027 10662431220054