| Base | Representation |
|---|---|
| bin | 10100100101110010… |
| … | …01000011000000000 |
| 3 | 1001112101202220221100 |
| 4 | 22102321020120000 |
| 5 | 140114410302030 |
| 6 | 5024525454400 |
| 7 | 540636501435 |
| oct | 122271103000 |
| 9 | 31471686840 |
| 10 | 11054384640 |
| 11 | 4762a03882 |
| 12 | 2186111400 |
| 13 | 1072289700 |
| 14 | 76c1c9b8c |
| 15 | 44a733360 |
| hex | 292e48600 |
11054384640 has 720 divisors, whose sum is σ = 44157361248. Its totient is φ = 2545680384.
The previous prime is 11054384603. The next prime is 11054384647. The reversal of 11054384640 is 4648345011.
11054384640 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 4 + 3 + 8 + 4 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (720).
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 a junction number, because it is equal to n+sod(n) for n = 11054384595 and 11054384604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11054384647) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66193837 + ... + 66194003.
Almost surely, 211054384640 is an apocalyptic number.
11054384640 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 11054384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22078680624).
11054384640 is an abundant number, since it is smaller than the sum of its proper divisors (33102976608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11054384640 is a wasteful number, since it uses less digits than its factorization.
11054384640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 239 (or 207 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
The spelling of 11054384640 in words is "eleven billion, fifty-four million, three hundred eighty-four thousand, six hundred forty".
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