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8257421251121 = 7173499128910601
BaseRepresentation
bin111100000101001010010…
…1010010001001000110001
31002020101211212212212200012
41320022110222101020301
52040242144320013441
625321223522504305
71511402411356520
oct170122452211061
932211755785605
108257421251121
1126a3a53031279
12b14415805095
1347b89632b2b3
142079389444b7
15e4bdb5589eb
hex78294a91231

8257421251121 has 32 divisors (see below), whose sum is σ = 9518899680000. Its totient is φ = 7016665420800.

The previous prime is 8257421251111. The next prime is 8257421251153. The reversal of 8257421251121 is 1211521247528.

It is a de Polignac number, because none of the positive numbers 2k-8257421251121 is a prime.

It is a super-3 number, since 3×82574212511213 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8257421251111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778923221 + ... + 778933821.

It is an arithmetic number, because the mean of its divisors is an integer number (297465615000).

Almost surely, 28257421251121 is an apocalyptic number.

It is an amenable number.

8257421251121 is a deficient number, since it is larger than the sum of its proper divisors (1261478428879).

8257421251121 is a wasteful number, since it uses less digits than its factorization.

8257421251121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12569.

The product of its digits is 89600, while the sum is 41.

Adding to 8257421251121 its reverse (1211521247528), we get a palindrome (9468942498649).

The spelling of 8257421251121 in words is "eight trillion, two hundred fifty-seven billion, four hundred twenty-one million, two hundred fifty-one thousand, one hundred twenty-one".

Divisors: 1 7 173 499 1211 1289 3493 9023 10601 74207 86327 222997 604289 643211 1560979 1833973 4502477 5289899 12837811 13664689 37029293 95652823 111275503 778928521 915152527 2363991197 6406067689 6818679811 16547938379 47730758677 1179631607303 8257421251121