Search a number
-
+
12241059892848 = 24349445262263
BaseRepresentation
bin1011001000100001100000…
…0001101100111001110000
31121100020022111210110110000
42302020120001230321300
53101024142313032343
642011244300110000
72402246606210643
oct262103001547160
947306274713400
1012241059892848
11399a44a205246
121458496235300
136aa43353b737
14304682d29a5a
15163640e3ded3
hexb221806ce70

12241059892848 has 50 divisors (see below), whose sum is σ = 35429178752264. Its totient is φ = 4080353297184.

The previous prime is 12241059892811. The next prime is 12241059892849. The reversal of 12241059892848 is 84829895014221.

12241059892848 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 10 + 598 + 9 + 28 + 4 + 8 = 666.

It is a super-2 number, since 2×122410598928482 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241059892849) 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 9 ways as a sum of consecutive naturals, for example, 4722629836 + ... + 4722632427.

Almost surely, 212241059892848 is an apocalyptic number.

12241059892848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12241059892848 is an abundant number, since it is smaller than the sum of its proper divisors (23188118859416).

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

12241059892848 is an equidigital number, since it uses as much as digits as its factorization.

12241059892848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9445262283 (or 9445262268 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 12241059892848 in words is "twelve trillion, two hundred forty-one billion, fifty-nine million, eight hundred ninety-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 9445262263 18890524526 28335786789 37781049052 56671573578 75562098104 85007360367 113343147156 151124196208 170014720734 226686294312 255022081101 340029441468 453372588624 510044162202 680058882936 765066243303 1020088324404 1360117765872 1530132486606 2040176648808 3060264973212 4080353297616 6120529946424 12241059892848