| Base | Representation |
|---|---|
| bin | 11111010111001100100… |
| … | …11011000001001100000 |
| 3 | 10211000111012011121001000 |
| 4 | 33223212103120021200 |
| 5 | 120123414022211303 |
| 6 | 2143013433112000 |
| 7 | 140566034002155 |
| oct | 17534623301140 |
| 9 | 3730435147030 |
| 10 | 1077605663328 |
| 11 | 386012338437 |
| 12 | 154a1bb58600 |
| 13 | 7a80534869c |
| 14 | 3a2291d822c |
| 15 | 1d06e92bda3 |
| hex | fae64d8260 |
1077605663328 has 96 divisors (see below), whose sum is σ = 3147248563200. Its totient is φ = 358718226048.
The previous prime is 1077605663261. The next prime is 1077605663357. The reversal of 1077605663328 is 8233665067701.
1077605663328 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 605 + 6 + 6 + 3 + 3 + 28 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×10776056633282 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197368 + ... + 1481271.
It is an arithmetic number, because the mean of its divisors is an integer number (32783839200).
Almost surely, 21077605663328 is an apocalyptic number.
1077605663328 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 1077605663328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573624281600).
1077605663328 is an abundant number, since it is smaller than the sum of its proper divisors (2069642899872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1077605663328 is a wasteful number, since it uses less digits than its factorization.
1077605663328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1679401 (or 1679387 counting only the distinct ones).
The product of its (nonzero) digits is 7620480, while the sum is 54.
The spelling of 1077605663328 in words is "one trillion, seventy-seven billion, six hundred five million, six hundred sixty-three thousand, three hundred twenty-eight".
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