| Base | Representation |
|---|---|
| bin | 11000111011000001… |
| … | …11111010101100000 |
| 3 | 1021112110222221210200 |
| 4 | 30131200333111200 |
| 5 | 204400300323214 |
| 6 | 10051405425200 |
| 7 | 652366611240 |
| oct | 143540772540 |
| 9 | 37473887720 |
| 10 | 13380089184 |
| 11 | 5746791050 |
| 12 | 2714b6b200 |
| 13 | 1353061647 |
| 14 | 90d029b20 |
| 15 | 5349d0d09 |
| hex | 31d83f560 |
13380089184 has 576 divisors, whose sum is σ = 50910612480. Its totient is φ = 3229839360.
The previous prime is 13380089179. The next prime is 13380089201. The reversal of 13380089184 is 48198008331.
13380089184 is a `hidden beast` number, since 13 + 380 + 0 + 89 + 184 = 666.
13380089184 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-3 number, since 3×133800891843 (a number of 31 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
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 95 ways as a sum of consecutive naturals, for example, 18871422 + ... + 18872130.
It is an arithmetic number, because the mean of its divisors is an integer number (88386480).
Almost surely, 213380089184 is an apocalyptic number.
13380089184 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 13380089184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25455306240).
13380089184 is an abundant number, since it is smaller than the sum of its proper divisors (37530523296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13380089184 is a wasteful number, since it uses less digits than its factorization.
13380089184 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 803 (or 792 counting only the distinct ones).
The product of its (nonzero) digits is 165888, while the sum is 45.
The spelling of 13380089184 in words is "thirteen billion, three hundred eighty million, eighty-nine thousand, one hundred eighty-four".
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