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2013015424 = 27717132157
BaseRepresentation
bin111011111111100…
…0010110110000000
312012021211210000211
41313333002312000
513110312443144
6531425523504
7100612230430
oct16777026600
95167753024
102013015424
11943327312
124821a3594
132610835b4
141514c62c0
15bbad4034
hex77fc2d80

2013015424 has 64 divisors (see below), whose sum is σ = 4852841760. Its totient is φ = 811966464.

The previous prime is 2013015421. The next prime is 2013015427. The reversal of 2013015424 is 4245103102.

It is an interprime number because it is at equal distance from previous prime (2013015421) and next prime (2013015427).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2013015395 and 2013015404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013015421) 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 7 ways as a sum of consecutive naturals, for example, 50847 + ... + 81310.

Almost surely, 22013015424 is an apocalyptic number.

It is an amenable number.

2013015424 is an abundant number, since it is smaller than the sum of its proper divisors (2839826336).

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

2013015424 is a wasteful number, since it uses less digits than its factorization.

2013015424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132195 (or 132183 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2013015424 is about 44866.6404358517. The cubic root of 2013015424 is about 1262.6482103426.

Adding to 2013015424 its reverse (4245103102), we get a palindrome (6258118526).

The spelling of 2013015424 in words is "two billion, thirteen million, fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2176 3808 7616 15232 132157 264314 528628 925099 1057256 1850198 2114512 2246669 3700396 4229024 4493338 7400792 8458048 8986676 14801584 15726683 16916096 17973352 29603168 31453366 35946704 59206336 62906732 71893408 118412672 125813464 143786816 251626928 287573632 503253856 1006507712 2013015424