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13036844005 = 5293141127557
BaseRepresentation
bin11000010010000111…
…00111001111100101
31020122120010021221021
430021003213033211
5203144413002010
65553344451141
7641031226363
oct141103471745
936576107837
1013036844005
11558aa5a949
12263a019ab1
1312c9c01ba3
148b95da633
155147cd8da
hex3090e73e5

13036844005 has 64 divisors (see below), whose sum is σ = 17278894080. Its totient is φ = 9415526400.

The previous prime is 13036843999. The next prime is 13036844057. The reversal of 13036844005 is 50044863031.

It is a happy number.

13036844005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13036844005 - 23 = 13036843997 is a prime.

It is a super-2 number, since 2×130368440052 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23405187 + ... + 23405743.

It is an arithmetic number, because the mean of its divisors is an integer number (269982720).

Almost surely, 213036844005 is an apocalyptic number.

It is an amenable number.

13036844005 is a deficient number, since it is larger than the sum of its proper divisors (4242050075).

13036844005 is a wasteful number, since it uses less digits than its factorization.

13036844005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790.

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 13036844005 in words is "thirteen billion, thirty-six million, eight hundred forty-four thousand, five".

Divisors: 1 5 29 31 41 127 145 155 205 557 635 899 1189 1271 2785 3683 3937 4495 5207 5945 6355 16153 17267 18415 19685 22837 26035 36859 70739 80765 86335 114173 114185 151003 161417 184295 353695 500743 570865 662273 707947 755015 807085 2051431 2192909 2503715 2900299 3311365 3539735 4681093 10257155 10964545 14501495 20530463 23405465 63594361 84108671 89909269 102652315 317971805 420543355 449546345 2607368801 13036844005