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13338096005 = 51322921372
BaseRepresentation
bin11000110110000001…
…10011000110000101
31021102112222110222202
430123000303012011
5204304023033010
610043305404245
7651346642163
oct143300630605
937375873882
1013338096005
115725009a43
122702a99685
13134744a800
14907618233
15530e886a5
hex31b033185

13338096005 has 54 divisors (see below), whose sum is σ = 18081860706. Its totient is φ = 9440610816.

The previous prime is 13338095917. The next prime is 13338096073. The reversal of 13338096005 is 50069083331.

It can be written as a sum of positive squares in 27 ways, for example, as 13313005924 + 25090081 = 115382^2 + 5009^2 .

It is not a de Polignac number, because 13338096005 - 216 = 13338030469 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13338096005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 97358297 + ... + 97358433.

Almost surely, 213338096005 is an apocalyptic number.

It is an amenable number.

13338096005 is a deficient number, since it is larger than the sum of its proper divisors (4743764701).

13338096005 is an equidigital number, since it uses as much as digits as its factorization.

13338096005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

Multiplying 13338096005 by its product of nonzero digits (58320), we get a square (777877759011600 = 278904602).

The spelling of 13338096005 in words is "thirteen billion, three hundred thirty-eight million, ninety-six thousand, five".

Divisors: 1 5 13 29 65 137 145 169 377 685 841 845 1781 1885 3973 4205 4901 8905 10933 18769 19865 23153 24505 51649 54665 93845 115217 115765 142129 243997 258245 544301 576085 671437 710645 1219985 1497821 2721505 3171961 3357185 7075913 7489105 15784729 15859805 19471673 35379565 78923645 91986869 97358365 205201477 459934345 1026007385 2667619201 13338096005