| Base | Representation |
|---|---|
| bin | 10101101011110010… |
| … | …11101101000000000 |
| 3 | 1010001022212022211000 |
| 4 | 22311321131220000 |
| 5 | 142320232033430 |
| 6 | 5203105252000 |
| 7 | 561330412140 |
| oct | 126571355000 |
| 9 | 33038768730 |
| 10 | 11641674240 |
| 11 | 4a34470189 |
| 12 | 230a934000 |
| 13 | 1136b54b51 |
| 14 | 7c61c4920 |
| 15 | 48208ee60 |
| hex | 2b5e5da00 |
11641674240 has 320 divisors, whose sum is σ = 47261617920. Its totient is φ = 2660843520.
The previous prime is 11641674199. The next prime is 11641674257. The reversal of 11641674240 is 4247614611.
It is a happy number.
11641674240 is a `hidden beast` number, since 1 + 1 + 641 + 6 + 7 + 4 + 2 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (320).
It is a super-3 number, since 3×116416742403 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 11641674195 and 11641674204.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471810 + ... + 495870.
It is an arithmetic number, because the mean of its divisors is an integer number (147692556).
Almost surely, 211641674240 is an apocalyptic number.
11641674240 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 11641674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23630808960).
11641674240 is an abundant number, since it is smaller than the sum of its proper divisors (35619943680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11641674240 is an equidigital number, since it uses as much as digits as its factorization.
11641674240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 24100 (or 24078 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The spelling of 11641674240 in words is "eleven billion, six hundred forty-one million, six hundred seventy-four thousand, two hundred forty".
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