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13201264536 = 2334356322721
BaseRepresentation
bin11000100101101101…
…10100111110011000
31021002000111201111120
430102312310332120
5204014010431121
610021540525240
7645065616465
oct142266647630
937060451446
1013201264536
115664851489
1226850b0820
131324cac745
148d339a66c
15523e5abc6
hex312db4f98

13201264536 has 64 divisors (see below), whose sum is σ = 33832149120. Its totient is φ = 4290263040.

The previous prime is 13201264523. The next prime is 13201264537. The reversal of 13201264536 is 63546210231.

It is a junction number, because it is equal to n+sod(n) for n = 13201264497 and 13201264506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201264537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569656 + ... + 592376.

It is an arithmetic number, because the mean of its divisors is an integer number (528627330).

Almost surely, 213201264536 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 13201264536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16916074560).

13201264536 is an abundant number, since it is smaller than the sum of its proper divisors (20630884584).

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

13201264536 is a wasteful number, since it uses less digits than its factorization.

13201264536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23336 (or 23332 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 13201264536 its reverse (63546210231), we get a palindrome (76747474767).

The spelling of 13201264536 in words is "thirteen billion, two hundred one million, two hundred sixty-four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 563 1032 1126 1689 2252 3378 4504 6756 13512 22721 24209 45442 48418 68163 72627 90884 96836 136326 145254 181768 193672 272652 290508 545304 581016 977003 1954006 2931009 3908012 5862018 7816024 11724036 12791923 23448072 25583846 38375769 51167692 76751538 102335384 153503076 307006152 550052689 1100105378 1650158067 2200210756 3300316134 4400421512 6600632268 13201264536