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12264460220551 = 7111741467489337
BaseRepresentation
bin1011001001111000101011…
…0010110111100010000111
31121102110201022122021101211
42302132022302313202013
53101420103304024201
642030114254232251
72404035520545460
oct262361262674207
947373638567354
1012264460220551
1139a9368073850
121460b26ab5687
136ac6c25253a6
14305862a65d67
15164060479651
hexb278acb7887

12264460220551 has 64 divisors (see below), whose sum is σ = 16620643113984. Its totient is φ = 8756374118400.

The previous prime is 12264460220521. The next prime is 12264460220569. The reversal of 12264460220551 is 15502206446221.

It is a cyclic number.

It is not a de Polignac number, because 12264460220551 - 27 = 12264460220423 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12264460220521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24818755 + ... + 25308091.

It is an arithmetic number, because the mean of its divisors is an integer number (259697548656).

Almost surely, 212264460220551 is an apocalyptic number.

12264460220551 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12264460220551 is a deficient number, since it is larger than the sum of its proper divisors (4356182893433).

12264460220551 is a wasteful number, since it uses less digits than its factorization.

12264460220551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489880.

The product of its (nonzero) digits is 230400, while the sum is 40.

Adding to 12264460220551 its reverse (15502206446221), we get a palindrome (27766666666772).

The spelling of 12264460220551 in words is "twelve trillion, two hundred sixty-four billion, four hundred sixty million, two hundred twenty thousand, five hundred fifty-one".

Divisors: 1 7 11 17 41 77 119 187 287 451 467 697 1309 3157 3269 4879 5137 7667 7939 19147 35959 53669 55573 87329 134029 210617 325499 489337 611303 1474319 2278493 3425359 3580489 5382707 8318729 20062817 25063423 37678949 58231103 91506019 140439719 220690987 228520379 341067889 640542133 1544836909 1599642653 2387475223 2513724169 3751746779 3884846443 9369335539 17596069183 26262227453 27193925101 42733310873 65585348773 103062690929 159278704163 299133176111 721438836503 1114950929141 1752065745793 12264460220551