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20662560426546 = 23329103263487079
BaseRepresentation
bin1001011001010111000001…
…00100110000101000110010
32201011022200100210111211000
410230223200210300220302
510202013410432122141
6111540125455302430
74231551336515013
oct454534044605062
981138610714730
1020662560426546
116646a40763a95
12239866181aa16
13b6b617c969cc
1451610505500a
1525c73211b5b6
hex12cae0930a32

20662560426546 has 128 divisors (see below), whose sum is σ = 48143766528000. Its totient is φ = 6560402925888.

The previous prime is 20662560426523. The next prime is 20662560426553. The reversal of 20662560426546 is 64562406526602.

20662560426546 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 2 + 5 + 604 + 26 + 5 + 4 + 6 = 666.

It is a super-2 number, since 2×206625604265462 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20662560426492 and 20662560426501.

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, 42177835 + ... + 42664913.

It is an arithmetic number, because the mean of its divisors is an integer number (376123176000).

Almost surely, 220662560426546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20662560426546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24071883264000).

20662560426546 is an abundant number, since it is smaller than the sum of its proper divisors (27481206101454).

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

20662560426546 is a wasteful number, since it uses less digits than its factorization.

20662560426546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487485 (or 487479 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 20662560426546 in words is "twenty trillion, six hundred sixty-two billion, five hundred sixty million, four hundred twenty-six thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 103 174 206 261 263 309 522 526 618 783 789 927 1566 1578 1854 2367 2781 2987 4734 5562 5974 7101 7627 8961 14202 15254 17922 22881 26883 27089 45762 53766 54178 68643 80649 81267 137286 161298 162534 205929 243801 411858 487079 487602 731403 785581 974158 1461237 1462806 1571162 2356743 2922474 4383711 4713486 7070229 8767422 13151133 14125291 14140458 21210687 26302266 28250582 42375873 42421374 50169137 84751746 100338274 127127619 128101777 150507411 254255238 256203554 301014822 381382857 384305331 451522233 762765714 768610662 903044466 1152915993 1354566699 1454904973 2305831986 2709133398 2909809946 3458747979 3714951533 4364714919 6917495958 7429903066 8729429838 11144854599 13094144757 13194483031 22289709198 26188289514 26388966062 33434563797 39282434271 39583449093 66869127594 78564868542 79166898186 100303691391 118750347279 200607382782 237500694558 356251041837 382640007899 712502083674 765280015798 1147920023697 2295840047394 3443760071091 6887520142182 10331280213273 20662560426546