| Base | Representation |
|---|---|
| bin | 10101001101101111… |
| … | …11010000011010000 |
| 3 | 1002101202120001010200 |
| 4 | 22212313322003100 |
| 5 | 141311214430034 |
| 6 | 5122102455200 |
| 7 | 552150033435 |
| oct | 124667720320 |
| 9 | 32352501120 |
| 10 | 11389608144 |
| 11 | 49151561a2 |
| 12 | 225a434500 |
| 13 | 10c686ac05 |
| 14 | 7a092bb8c |
| 15 | 469d9da99 |
| hex | 2a6dfa0d0 |
11389608144 has 120 divisors (see below), whose sum is σ = 32666599680. Its totient is φ = 3702537216.
The previous prime is 11389608137. The next prime is 11389608169. The reversal of 11389608144 is 44180698311.
11389608144 is a `hidden beast` number, since 1 + 1 + 38 + 9 + 608 + 1 + 4 + 4 = 666.
11389608144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×113896081442 (a number of 21 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 11389608144.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6246817 + ... + 6248639.
It is an arithmetic number, because the mean of its divisors is an integer number (272221664).
Almost surely, 211389608144 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 11389608144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16333299840).
11389608144 is an abundant number, since it is smaller than the sum of its proper divisors (21276991536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11389608144 is a wasteful number, since it uses less digits than its factorization.
11389608144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2889 (or 2880 counting only the distinct ones).
The product of its (nonzero) digits is 165888, while the sum is 45.
The spelling of 11389608144 in words is "eleven billion, three hundred eighty-nine million, six hundred eight thousand, one hundred forty-four".
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