| Base | Representation |
|---|---|
| bin | 10101110001011101… |
| … | …00010100010000000 |
| 3 | 1010011122011221220000 |
| 4 | 22320232202202000 |
| 5 | 142414410024100 |
| 6 | 5211522520000 |
| 7 | 562445033235 |
| oct | 127056424200 |
| 9 | 33148157800 |
| 10 | 11689142400 |
| 11 | 4a59241771 |
| 12 | 2322806000 |
| 13 | 1143934a10 |
| 14 | 7cc61d78c |
| 15 | 486319900 |
| hex | 2b8ba2880 |
11689142400 has 480 divisors, whose sum is σ = 46467012900. Its totient is φ = 2876497920.
The previous prime is 11689142341. The next prime is 11689142407. The reversal of 11689142400 is 424198611.
11689142400 is a `hidden beast` number, since 1 + 168 + 91 + 4 + 2 + 400 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 226442304 + 11462700096 = 15048^2 + 107064^2 .
It is a tau number, because it is divible by the number of its divisors (480).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (11689142407) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3367866 + ... + 3371334.
Almost surely, 211689142400 is an apocalyptic number.
11689142400 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 11689142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23233506450).
11689142400 is an abundant number, since it is smaller than the sum of its proper divisors (34777870500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11689142400 is a wasteful number, since it uses less digits than its factorization.
11689142400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3518 (or 3492 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 36.
The spelling of 11689142400 in words is "eleven billion, six hundred eighty-nine million, one hundred forty-two thousand, four hundred".
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