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20531542017248 = 251931266153161
BaseRepresentation
bin1001010101100010111110…
…10001001100010011100000
32200200210111110112201021022
410222301133101030103200
510142342044224022443
6111400021000145012
74216232515434233
oct452613721142340
980623443481238
1020531542017248
1165a6418237989
122377197a68168
13b5c16810a932
1450da3660941a
15259114b8be68
hex12ac5f44c4e0

20531542017248 has 144 divisors (see below), whose sum is σ = 44033083027920. Its totient is φ = 9397327104000.

The previous prime is 20531542017247. The next prime is 20531542017293. The reversal of 20531542017248 is 84271024513502.

It is a junction number, because it is equal to n+sod(n) for n = 20531542017199 and 20531542017208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20531542017247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386187788 + ... + 386240948.

It is an arithmetic number, because the mean of its divisors is an integer number (305785298805).

Almost surely, 220531542017248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20531542017248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22016541513960).

20531542017248 is an abundant number, since it is smaller than the sum of its proper divisors (23501541010672).

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

20531542017248 is a wasteful number, since it uses less digits than its factorization.

20531542017248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53913 (or 53874 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 44.

The spelling of 20531542017248 in words is "twenty trillion, five hundred thirty-one billion, five hundred forty-two million, seventeen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 589 608 661 961 992 1178 1322 1922 2356 2644 3844 4712 5288 7688 9424 10576 12559 15376 18259 18848 20491 21152 25118 30752 36518 40982 50236 53161 73036 81964 100472 106322 146072 163928 200944 212644 292144 327856 389329 401888 425288 584288 635221 655712 778658 850576 1010059 1270442 1557316 1647991 1701152 2020118 2540884 3114632 3295982 4040236 5081768 6229264 6591964 8080472 10163536 12069199 12458528 13183928 16160944 20327072 24138398 26367856 31311829 32321888 35139421 48276796 51087721 52735712 62623658 70278842 96553592 102175442 125247316 140557684 193107184 204350884 250494632 281115368 386214368 408701768 500989264 562230736 667648999 817403536 970666699 1001978528 1089322051 1124461472 1335297998 1634807072 1941333398 2178644102 2670595996 3882666796 4357288204 5341191992 7765333592 8714576408 10682383984 15530667184 17429152816 20697118969 21364767968 31061334368 33768983581 34858305632 41394237938 67537967162 82788475876 135075934324 165576951752 270151868648 331153903504 540303737296 641610688039 662307807008 1080607474592 1283221376078 2566442752156 5132885504312 10265771008624 20531542017248