Search a number
-
+
11128443921504 = 2532713193311997
BaseRepresentation
bin1010000111110000101011…
…1100100110010001100000
31110101212110101112221112100
42201330022330212101200
52424312023120442004
635400200410330400
72226001133410560
oct241741274462140
943355411487470
1011128443921504
113600601526258
1212b8925429a00
1362953bb00580
142a6896100da0
15144722ae7739
hexa1f0af26460

11128443921504 has 1152 divisors, whose sum is σ = 42460582993920. Its totient is φ = 2689460858880.

The previous prime is 11128443921481. The next prime is 11128443921577. The reversal of 11128443921504 is 40512934482111.

It is a happy number.

11128443921504 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 84 + 43 + 9 + 21 + 504 = 666.

It is a super-2 number, since 2×111284439215042 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11128443921504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5572579834 + ... + 5572581830.

It is an arithmetic number, because the mean of its divisors is an integer number (36858144960).

Almost surely, 211128443921504 is an apocalyptic number.

11128443921504 is a gapful number since it is divisible by the number (14) 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 11128443921504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21230291496960).

11128443921504 is an abundant number, since it is smaller than the sum of its proper divisors (31332139072416).

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

11128443921504 is a wasteful number, since it uses less digits than its factorization.

11128443921504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 11128443921504 in words is "eleven trillion, one hundred twenty-eight billion, four hundred forty-three million, nine hundred twenty-one thousand, five hundred four".