Search a number
-
+
13365513460 = 2251358818741
BaseRepresentation
bin11000111001010010…
…11000110011110100
31021111110120102200001
430130221120303310
5204333032412320
610050125201044
7652131663355
oct143451306364
937443512601
1013365513460
1157395360a2
122710100184
13135002a160
1490b113d2c
155335a220a
hex31ca58cf4

13365513460 has 48 divisors (see below), whose sum is σ = 30235221072. Its totient is φ = 4933555200.

The previous prime is 13365513377. The next prime is 13365513583. The reversal of 13365513460 is 6431556331.

It is a happy number.

13365513460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 852406416 + 12513107044 = 29196^2 + 111862^2 .

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 15 ways as a sum of consecutive naturals, for example, 1524690 + ... + 1533430.

It is an arithmetic number, because the mean of its divisors is an integer number (629900439).

Almost surely, 213365513460 is an apocalyptic number.

13365513460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13365513460 is an abundant number, since it is smaller than the sum of its proper divisors (16869707612).

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

13365513460 is a wasteful number, since it uses less digits than its factorization.

13365513460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14644 (or 14642 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The spelling of 13365513460 in words is "thirteen billion, three hundred sixty-five million, five hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 5881 8741 11762 17482 23524 29405 34964 43705 58810 76453 87410 113633 117620 152906 174820 227266 305812 382265 454532 568165 764530 1136330 1529060 2272660 51405821 102811642 205623284 257029105 514058210 668275673 1028116420 1336551346 2673102692 3341378365 6682756730 13365513460