| Base | Representation |
|---|---|
| bin | 10101010101000100… |
| … | …11000111000100000 |
| 3 | 1002120001012221100200 |
| 4 | 22222202120320200 |
| 5 | 141422433414003 |
| 6 | 5132140145200 |
| 7 | 553524353412 |
| oct | 125242307040 |
| 9 | 32501187320 |
| 10 | 11451076128 |
| 11 | 4946919a88 |
| 12 | 2276b38200 |
| 13 | 11065100bb |
| 14 | 7a8b6c9b2 |
| 15 | 4704916a3 |
| hex | 2aa898e20 |
11451076128 has 288 divisors, whose sum is σ = 34825766976. Its totient is φ = 3563771904.
The previous prime is 11451076127. The next prime is 11451076129. The reversal of 11451076128 is 82167015411.
11451076128 is a `hidden beast` number, since 1 + 14 + 510 + 7 + 6 + 128 = 666.
It is an interprime number because it is at equal distance from previous prime (11451076127) and next prime (11451076129).
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×114510761282 (a number of 21 digits) contains 22 as substring.
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 = 11451076092 and 11451076101.
It is not an unprimeable number, because it can be changed into a prime (11451076127) 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 47 ways as a sum of consecutive naturals, for example, 30699750 + ... + 30700122.
It is an arithmetic number, because the mean of its divisors is an integer number (120922802).
Almost surely, 211451076128 is an apocalyptic number.
11451076128 is a gapful number since it is divisible by the number (18) 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 11451076128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17412883488).
11451076128 is an abundant number, since it is smaller than the sum of its proper divisors (23374690848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11451076128 is a wasteful number, since it uses less digits than its factorization.
11451076128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 536 (or 525 counting only the distinct ones).
The product of its (nonzero) digits is 13440, while the sum is 36.
The spelling of 11451076128 in words is "eleven billion, four hundred fifty-one million, seventy-six thousand, one hundred twenty-eight".
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