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12048036533 = 132378921649
BaseRepresentation
bin10110011100001111…
…00111001010110101
31011002122111200002022
423032013213022311
5144133244132113
65311303122525
7604363422641
oct131607471265
934078450068
1012048036533
115122891195
122402a43445
1311a00b3300
14824163c21
154a7aad908
hex2ce1e72b5

12048036533 has 24 divisors (see below), whose sum is σ = 13549869000. Its totient is φ = 10698614784.

The previous prime is 12048036523. The next prime is 12048036551. The reversal of 12048036533 is 33563084021.

It can be written as a sum of positive squares in 12 ways, for example, as 6037600804 + 6010435729 = 77702^2 + 77527^2 .

It is not a de Polignac number, because 12048036533 - 226 = 11980927669 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12048036493 and 12048036502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12048036523) 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 23 ways as a sum of consecutive naturals, for example, 545693 + ... + 567341.

It is an arithmetic number, because the mean of its divisors is an integer number (564577875).

Almost surely, 212048036533 is an apocalyptic number.

12048036533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12048036533 is a deficient number, since it is larger than the sum of its proper divisors (1501832467).

12048036533 is a wasteful number, since it uses less digits than its factorization.

12048036533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21801 (or 21788 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 12048036533 in words is "twelve billion, forty-eight million, thirty-six thousand, five hundred thirty-three".

Divisors: 1 13 37 89 169 481 1157 3293 6253 15041 21649 42809 281437 556517 801013 1926761 3658681 10413169 25047893 71290157 135371197 325622609 926772041 12048036533