Search a number
-
+
11061853344 = 253312803071
BaseRepresentation
bin10100100110101011…
…00111110010100000
31001112220211101002000
422103111213302200
5140123313301334
65025353524000
7541060126203
oct122325476240
931486741060
1011061853344
114767145163
122188713600
1310739a3069
1476d1b193a
1544b20b299
hex293567ca0

11061853344 has 48 divisors (see below), whose sum is σ = 32263741440. Its totient is φ = 3687284160.

The previous prime is 11061853279. The next prime is 11061853373. The reversal of 11061853344 is 44335816011.

11061853344 is a `hidden beast` number, since 1 + 1 + 0 + 618 + 5 + 3 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11061853299 and 11061853308.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6400672 + ... + 6402399.

It is an arithmetic number, because the mean of its divisors is an integer number (672161280).

Almost surely, 211061853344 is an apocalyptic number.

It is an amenable number.

11061853344 is an abundant number, since it is smaller than the sum of its proper divisors (21201888096).

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

11061853344 is a wasteful number, since it uses less digits than its factorization.

11061853344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12803090 (or 12803076 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11061853344 in words is "eleven billion, sixty-one million, eight hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 12803071 25606142 38409213 51212284 76818426 102424568 115227639 153636852 204849136 230455278 307273704 345682917 409698272 460910556 614547408 691365834 921821112 1229094816 1382731668 1843642224 2765463336 3687284448 5530926672 11061853344