| Base | Representation |
|---|---|
| bin | 1010111000011011010000… |
| … | …1000110000000000000000 |
| 3 | 1120100210111000001202220000 |
| 4 | 2232012310020300000000 |
| 5 | 3032011302031041000 |
| 6 | 41240230200520000 |
| 7 | 2343256420646331 |
| oct | 256066410600000 |
| 9 | 46323430052800 |
| 10 | 11964506112000 |
| 11 | 38a3133871472 |
| 12 | 1412974a80000 |
| 13 | 68a32c073ab0 |
| 14 | 2d5129a6c288 |
| 15 | 15b356d33000 |
| hex | ae1b4230000 |
11964506112000 has 2720 divisors, whose sum is σ = 51263273181120. Its totient is φ = 2751882854400.
The previous prime is 11964506111993. The next prime is 11964506112007. The reversal of 11964506112000 is 21160546911.
11964506112000 is a `hidden beast` number, since 1 + 1 + 9 + 645 + 0 + 6 + 1 + 1 + 2 + 0 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (11964506111993) and next prime (11964506112007).
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 (11964506112007) 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 159 ways as a sum of consecutive naturals, for example, 163897343964 + ... + 163897344036.
Almost surely, 211964506112000 is an apocalyptic number.
11964506112000 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 11964506112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25631636590560).
11964506112000 is an abundant number, since it is smaller than the sum of its proper divisors (39298767069120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11964506112000 is an frugal number, since it uses more digits than its factorization.
11964506112000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 164 (or 115 counting only the distinct ones).
The product of its (nonzero) digits is 12960, while the sum is 36.
Adding to 11964506112000 its reverse (21160546911), we get a palindrome (11985666658911).
The spelling of 11964506112000 in words is "eleven trillion, nine hundred sixty-four billion, five hundred six million, one hundred twelve thousand".
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