Search a number
-
+
11053555200 = 293252229419
BaseRepresentation
bin10100100101101011…
…11101111000000000
31001112100012210011100
422102311331320000
5140114202231300
65024500014400
7540626445312
oct122265757000
931470183140
1011053555200
114762497696
122185991400
13107205900c
1476c0517b2
1544a61c700
hex292d7de00

11053555200 has 360 divisors, whose sum is σ = 39825185400. Its totient is φ = 2927738880.

The previous prime is 11053555111. The next prime is 11053555213. The reversal of 11053555200 is 255535011.

11053555200 is a `hidden beast` number, since 1 + 105 + 3 + 5 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26380591 + ... + 26381009.

It is an arithmetic number, because the mean of its divisors is an integer number (110625515).

Almost surely, 211053555200 is an apocalyptic number.

11053555200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11053555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19912592700).

11053555200 is an abundant number, since it is smaller than the sum of its proper divisors (28771630200).

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

11053555200 is a wasteful number, since it uses less digits than its factorization.

11053555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 11053555200 in words is "eleven billion, fifty-three million, five hundred fifty-five thousand, two hundred".