Base | Representation |
---|---|
bin | 10101110010011111… |
… | …11010000000000000 |
3 | 1010012020122100100112 |
4 | 22321033322000000 |
5 | 142424124424110 |
6 | 5212434210452 |
7 | 562612263320 |
oct | 127117720000 |
9 | 33166570315 |
10 | 11697889280 |
11 | 4a631763a0 |
12 | 2325723a28 |
13 | 11456a809c |
14 | 7cd859280 |
15 | 486e96405 |
hex | 2b93fa000 |
11697889280 has 224 divisors, whose sum is σ = 35009815680. Its totient is φ = 3645112320.
The previous prime is 11697889271. The next prime is 11697889283. The reversal of 11697889280 is 8298879611.
It is a tau number, because it is divible by the number of its divisors (224).
It is a super-2 number, since 2×116978892802 (a number of 21 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.
It is not an unprimeable number, because it can be changed into a prime (11697889283) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3152066 + ... + 3155774.
It is an arithmetic number, because the mean of its divisors is an integer number (156293820).
Almost surely, 211697889280 is an apocalyptic number.
11697889280 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 11697889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17504907840).
11697889280 is an abundant number, since it is smaller than the sum of its proper divisors (23311926400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11697889280 is an equidigital number, since it uses as much as digits as its factorization.
11697889280 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3758 (or 3734 counting only the distinct ones).
The product of its (nonzero) digits is 3483648, while the sum is 59.
The spelling of 11697889280 in words is "eleven billion, six hundred ninety-seven million, eight hundred eighty-nine thousand, two hundred eighty".
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