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11826199105133 = 7411213183118553
BaseRepresentation
bin1010110000011000000001…
…1001011000111001101101
31112212120111011000212010012
42230012000121120321231
53022230023432331013
641052514133423005
72330262144540140
oct254060031307155
945776434025105
1011826199105133
11384a5100a5106
1213abbb619aa65
1367a28a176caa
142cc569220057
1515795ea7e1a8
hexac180658e6d

11826199105133 has 32 divisors (see below), whose sum is σ = 13865035494912. Its totient is φ = 9875422540800.

The previous prime is 11826199105087. The next prime is 11826199105141. The reversal of 11826199105133 is 33150199162811.

It is a cyclic number.

It is not a de Polignac number, because 11826199105133 - 26 = 11826199105069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11826199105153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637418585 + ... + 637437137.

It is an arithmetic number, because the mean of its divisors is an integer number (433282359216).

Almost surely, 211826199105133 is an apocalyptic number.

It is an amenable number.

11826199105133 is a deficient number, since it is larger than the sum of its proper divisors (2038836389779).

11826199105133 is a wasteful number, since it uses less digits than its factorization.

11826199105133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21645.

The product of its (nonzero) digits is 349920, while the sum is 50.

The spelling of 11826199105133 in words is "eleven trillion, eight hundred twenty-six billion, one hundred ninety-nine million, one hundred five thousand, one hundred thirty-three".

Divisors: 1 7 41 287 1213 1831 8491 12817 18553 49733 75071 129871 348131 525497 760673 2221003 5324711 15547021 22504789 33970543 91061123 157533523 237793801 637427861 922696349 1392792263 6458874443 9749545841 41206268659 288443880613 1689457015019 11826199105133