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13340632064 = 21031374153
BaseRepresentation
bin11000110110010100…
…11110010000000000
31021102201202022210212
430123022132100000
5204310200211224
610043440013252
7651410334014
oct143312362000
937381668725
1013340632064
115726491361
122703901228
131347b27c36
14907ab8544
155312d9d0e
hex31b29e400

13340632064 has 44 divisors (see below), whose sum is σ = 26683160844. Its totient is φ = 6666584064.

The previous prime is 13340632049. The next prime is 13340632091. The reversal of 13340632064 is 46023604331.

It can be written as a sum of positive squares in 2 ways, for example, as 7163929600 + 6176702464 = 84640^2 + 78592^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13340632064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3210212 + ... + 3214364.

Almost surely, 213340632064 is an apocalyptic number.

It is an amenable number.

13340632064 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

13340632064 is an equidigital number, since it uses as much as digits as its factorization.

13340632064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7310 (or 7292 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The spelling of 13340632064 in words is "thirteen billion, three hundred forty million, six hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 3137 4153 6274 8306 12548 16612 25096 33224 50192 66448 100384 132896 200768 265792 401536 531584 803072 1063168 1606144 2126336 3212288 4252672 13027961 26055922 52111844 104223688 208447376 416894752 833789504 1667579008 3335158016 6670316032 13340632064