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21256908364872 = 23322967091517441
BaseRepresentation
bin1001101010101010000100…
…11110001101110001001000
32210021010210111022002021200
410311111002132031301020
510241233122020133442
6113113142222304200
74322522001604065
oct465250236156110
983233714262250
1021256908364872
116856005672a34
122473893728060
13bb269696c10b
14536ba87bbc6c
1526ce1ab7e34c
hex13554278dc48

21256908364872 has 96 divisors (see below), whose sum is σ = 59564909547000. Its totient is φ = 6840279613440.

The previous prime is 21256908364859. The next prime is 21256908364883. The reversal of 21256908364872 is 27846380965212.

21256908364872 is a `hidden beast` number, since 2 + 1 + 2 + 569 + 0 + 8 + 3 + 64 + 8 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20800221647076 + 456686717796 = 4560726^2 + 675786^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13249672 + ... + 14767112.

It is a 1-persistent number, because it is pandigital, but 2⋅21256908364872 = 42513816729744 is not.

Almost surely, 221256908364872 is an apocalyptic number.

It is an amenable number.

21256908364872 is an abundant number, since it is smaller than the sum of its proper divisors (38308001182128).

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

21256908364872 is a wasteful number, since it uses less digits than its factorization.

21256908364872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524191 (or 1524184 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 21256908364872 in words is "twenty-one trillion, two hundred fifty-six billion, nine hundred eight million, three hundred sixty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 6709 13418 20127 26836 40254 53672 60381 80508 120762 161016 194561 241524 389122 483048 583683 778244 1167366 1517441 1556488 1751049 2334732 3034882 3502098 4552323 4669464 6069764 7004196 9104646 12139528 13656969 14008392 18209292 27313938 36418584 44005789 54627876 88011578 109255752 132017367 176023156 264034734 352046312 396052101 528069468 792104202 1056138936 1584208404 3168416808 10180511669 20361023338 30541535007 40722046676 61083070014 81444093352 91624605021 122166140028 183249210042 244332280056 295234838401 366498420084 590469676802 732996840168 885704515203 1180939353604 1771409030406 2361878707208 2657113545609 3542818060812 5314227091218 7085636121624 10628454182436 21256908364872