| Base | Representation |
|---|---|
| bin | 11100100010011001101… |
| … | …010100001000000000000 |
| 3 | 20221110220020220211210000 |
| 4 | 130202121222201000000 |
| 5 | 224112244241134430 |
| 6 | 4100524213440000 |
| 7 | 261453316464021 |
| oct | 34423152410000 |
| 9 | 6843806824700 |
| 10 | 1961083146240 |
| 11 | 696766346629 |
| 12 | 2780a2940000 |
| 13 | 112c10a1145a |
| 14 | 6acba0b4c48 |
| 15 | 3602b64ce60 |
| hex | 1c899aa1000 |
1961083146240 has 520 divisors, whose sum is σ = 7082122406040. Its totient is φ = 519078150144.
The previous prime is 1961083146221. The next prime is 1961083146247. The reversal of 1961083146240 is 426413801691.
1961083146240 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 0 + 8 + 3 + 14 + 624 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 464316862464 + 1496766283776 = 681408^2 + 1223424^2 .
It is a super-2 number, since 2×19610831462402 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (1961083146247) 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 39 ways as a sum of consecutive naturals, for example, 227262246 + ... + 227270874.
Almost surely, 21961083146240 is an apocalyptic number.
1961083146240 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 1961083146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541061203020).
1961083146240 is an abundant number, since it is smaller than the sum of its proper divisors (5121039259800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1961083146240 is an equidigital number, since it uses as much as digits as its factorization.
1961083146240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8807 (or 8776 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 45.
The spelling of 1961083146240 in words is "one trillion, nine hundred sixty-one billion, eighty-three million, one hundred forty-six thousand, two hundred forty".
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