| Base | Representation |
|---|---|
| bin | 1010000000101011000100… |
| … | …1111010011001000000000 |
| 3 | 1102222020011102212011200000 |
| 4 | 2200022301033103020000 |
| 5 | 2420313140011240310 |
| 6 | 35224222054400000 |
| 7 | 2214130533361062 |
| oct | 240126117231000 |
| 9 | 42866142764600 |
| 10 | 11006679790080 |
| 11 | 35639a7886087 |
| 12 | 1299202960000 |
| 13 | 61ac052a4370 |
| 14 | 2a0a2477b732 |
| 15 | 141497d214c0 |
| hex | a02b13d3200 |
11006679790080 has 960 divisors, whose sum is σ = 44813153024640. Its totient is φ = 2566704070656.
The previous prime is 11006679790063. The next prime is 11006679790097. The reversal of 11006679790080 is 8009797660011.
It is an interprime number because it is at equal distance from previous prime (11006679790063) and next prime (11006679790097).
It is a tau number, because it is divible by the number of its divisors (960).
It is a super-2 number, since 2×110066797900802 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 11006679789999 and 11006679790026.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153617944 + ... + 153689576.
It is an arithmetic number, because the mean of its divisors is an integer number (46680367734).
Almost surely, 211006679790080 is an apocalyptic number.
11006679790080 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 11006679790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22406576512320).
11006679790080 is an abundant number, since it is smaller than the sum of its proper divisors (33806473234560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11006679790080 is an equidigital number, since it uses as much as digits as its factorization.
11006679790080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 71703 (or 71675 counting only the distinct ones).
The product of its (nonzero) digits is 1143072, while the sum is 54.
The spelling of 11006679790080 in words is "eleven trillion, six billion, six hundred seventy-nine million, seven hundred ninety thousand, eighty".
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