Search a number
-
+
13594819104 = 253247204233
BaseRepresentation
bin11001010100101000…
…00111101000100000
31022002110001100212200
430222110013220200
5210320233202404
610125000053200
7660615025056
oct145224075040
938073040780
1013594819104
115846a14899
122774a64200
1313886a5379
1492d7641d6
15548799839
hex32a507a20

13594819104 has 36 divisors (see below), whose sum is σ = 38660267646. Its totient is φ = 4531606272.

The previous prime is 13594819103. The next prime is 13594819157. The reversal of 13594819104 is 40191849531.

13594819104 is a `hidden beast` number, since 13 + 59 + 481 + 9 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10352655504 + 3242163600 = 101748^2 + 56940^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13594819104.

It is not an unprimeable number, because it can be changed into a prime (13594819103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 23601829 + ... + 23602404.

Almost surely, 213594819104 is an apocalyptic number.

It is an amenable number.

13594819104 is an abundant number, since it is smaller than the sum of its proper divisors (25065448542).

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

13594819104 is a wasteful number, since it uses less digits than its factorization.

13594819104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47204249 (or 47204238 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 13594819104 in words is "thirteen billion, five hundred ninety-four million, eight hundred nineteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 47204233 94408466 141612699 188816932 283225398 377633864 424838097 566450796 755267728 849676194 1132901592 1510535456 1699352388 2265803184 3398704776 4531606368 6797409552 13594819104