| Base | Representation |
|---|---|
| bin | 1010110101011111011011… |
| … | …1011010001110100000000 |
| 3 | 1120011222100012200212100000 |
| 4 | 2231113312323101310000 |
| 5 | 3030200022240441100 |
| 6 | 41201131145200000 |
| 7 | 2336523116654100 |
| oct | 255276673216400 |
| 9 | 46158305625300 |
| 10 | 11914087046400 |
| 11 | 38838105a1210 |
| 12 | 1405043790000 |
| 13 | 685655548776 |
| 14 | 2d2905813200 |
| 15 | 159da57b0900 |
| hex | ad5f6ed1d00 |
11914087046400 has 3888 divisors, whose sum is σ = 57219970062528. Its totient is φ = 2424619008000.
The previous prime is 11914087046399. The next prime is 11914087046401. The reversal of 11914087046400 is 464078041911.
11914087046400 is a `hidden beast` number, since 1 + 1 + 91 + 40 + 87 + 0 + 46 + 400 = 666.
It is an interprime number because it is at equal distance from previous prime (11914087046399) and next prime (11914087046401).
It is a tau number, because it is divible by the number of its divisors (3888).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11914087046401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 51133420684 + ... + 51133420916.
Almost surely, 211914087046400 is an apocalyptic number.
11914087046400 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 11914087046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28609985031264).
11914087046400 is an abundant number, since it is smaller than the sum of its proper divisors (45305883016128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11914087046400 is a wasteful number, since it uses less digits than its factorization.
11914087046400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 360 (or 322 counting only the distinct ones).
The product of its (nonzero) digits is 193536, while the sum is 45.
The spelling of 11914087046400 in words is "eleven trillion, nine hundred fourteen billion, eighty-seven million, forty-six thousand, four hundred".
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