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13006779955 = 513289971783
BaseRepresentation
bin11000001110100001…
…11011011000110011
31020120110112212210221
430013100323120303
5203114213424310
65550352233511
7640214543161
oct140720733063
936513485727
1013006779955
115574a96324
12262bb3b897
1312c3906a00
148b5612231
15511d40ada
hex30743b633

13006779955 has 48 divisors (see below), whose sum is σ = 17276898240. Its totient is φ = 9393905664.

The previous prime is 13006779949. The next prime is 13006779959. The reversal of 13006779955 is 55997760031.

It is a happy number.

13006779955 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 13006779955 - 225 = 12973225523 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13006779959) 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 47 ways as a sum of consecutive naturals, for example, 7293994 + ... + 7295776.

It is an arithmetic number, because the mean of its divisors is an integer number (359935380).

Almost surely, 213006779955 is an apocalyptic number.

13006779955 is a deficient number, since it is larger than the sum of its proper divisors (4270118285).

13006779955 is a wasteful number, since it uses less digits than its factorization.

13006779955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 1786050, while the sum is 52.

The spelling of 13006779955 in words is "thirteen billion, six million, seven hundred seventy-nine thousand, nine hundred fifty-five".

Divisors: 1 5 13 65 89 97 169 445 485 845 1157 1261 1783 5785 6305 8633 8915 15041 16393 23179 43165 75205 81965 112229 115895 158687 172951 301327 561145 793435 864755 1458977 1506635 2062931 2248363 7294885 10314655 11241815 15392639 26818103 29228719 76963195 134090515 146143595 200104307 1000521535 2601355991 13006779955