Search a number
-
+
11058038784 = 211331315383
BaseRepresentation
bin10100100110001110…
…00100100000000000
31001112122122120111000
422103013010200000
5140121324220114
65025140052000
7541012531062
oct122307044000
931478576430
1011058038784
114764a7a231
122187394000
131072c68a20
1476c89b732
1544ac05e09
hex2931c4800

11058038784 has 192 divisors, whose sum is σ = 35278588800. Its totient is φ = 3402252288.

The previous prime is 11058038777. The next prime is 11058038801. The reversal of 11058038784 is 48783085011.

It is a happy number.

11058038784 is a `hidden beast` number, since 110 + 5 + 80 + 387 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711157 + ... + 726539.

It is an arithmetic number, because the mean of its divisors is an integer number (183742650).

Almost surely, 211058038784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11058038784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17639294400).

11058038784 is an abundant number, since it is smaller than the sum of its proper divisors (24220550016).

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

11058038784 is a wasteful number, since it uses less digits than its factorization.

11058038784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15427 (or 15401 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 11058038784 in words is "eleven billion, fifty-eight million, thirty-eight thousand, seven hundred eighty-four".