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13247810128 = 2472137123341
BaseRepresentation
bin11000101011010000…
…11000101001010000
31021012021002111001101
430111220120221100
5204112414411003
610030322314144
7646202346100
oct142550305120
937167074041
1013247810128
115689052913
1226987b8954
131331828707
148d9635200
155280a211d
hex315a18a50

13247810128 has 60 divisors (see below), whose sum is σ = 30076453332. Its totient is φ = 5636144640.

The previous prime is 13247810087. The next prime is 13247810129. The reversal of 13247810128 is 82101874231.

It can be written as a sum of positive squares in 2 ways, for example, as 10931120704 + 2316689424 = 104552^2 + 48132^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13247810129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45738 + ... + 169078.

Almost surely, 213247810128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13247810128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15038226666).

13247810128 is an abundant number, since it is smaller than the sum of its proper divisors (16828643204).

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

13247810128 is a wasteful number, since it uses less digits than its factorization.

13247810128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123500 (or 123487 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 13247810128 in words is "thirteen billion, two hundred forty-seven million, eight hundred ten thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 137 196 274 392 548 784 959 1096 1918 2192 3836 6713 7672 13426 15344 26852 53704 107408 123341 246682 493364 863387 986728 1726774 1973456 3453548 6043709 6907096 12087418 13814192 16897717 24174836 33795434 48349672 67590868 96699344 118284019 135181736 236568038 270363472 473136076 827988133 946272152 1655976266 1892544304 3311952532 6623905064 13247810128