| Base | Representation |
|---|---|
| bin | 11101011101100110010… |
| … | …11110100111100000000 |
| 3 | 10120202222120022221200000 |
| 4 | 32232303023310330000 |
| 5 | 113041214311133030 |
| 6 | 2053015514400000 |
| 7 | 133065215041203 |
| oct | 16566313647400 |
| 9 | 3522876287600 |
| 10 | 1012323536640 |
| 11 | 360362277419 |
| 12 | 144241130000 |
| 13 | 7460047c260 |
| 14 | 36dd500393a |
| 15 | 1b4ed5e4860 |
| hex | ebb32f4f00 |
1012323536640 has 1728 divisors, whose sum is σ = 4134199305600. Its totient is φ = 235438866432.
The previous prime is 1012323536629. The next prime is 1012323536659. The reversal of 1012323536640 is 466353232101.
1012323536640 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 2 + 3 + 5 + 3 + 6 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (1728).
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 = 1012323536595 and 1012323536604.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10436325072 + ... + 10436325168.
It is an arithmetic number, because the mean of its divisors is an integer number (2392476450).
Almost surely, 21012323536640 is an apocalyptic number.
1012323536640 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 1012323536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067099652800).
1012323536640 is an abundant number, since it is smaller than the sum of its proper divisors (3121875768960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1012323536640 is an equidigital number, since it uses as much as digits as its factorization.
1012323536640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 264 (or 238 counting only the distinct ones).
The product of its (nonzero) digits is 77760, while the sum is 36.
Adding to 1012323536640 its reverse (466353232101), we get a palindrome (1478676768741).
The spelling of 1012323536640 in words is "one trillion, twelve billion, three hundred twenty-three million, five hundred thirty-six thousand, six hundred forty".
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