| Base | Representation |
|---|---|
| bin | 11011111110101000111… |
| … | …00110110111000000000 |
| 3 | 10101220101120122122222000 |
| 4 | 31333110130312320000 |
| 5 | 111222312030312400 |
| 6 | 2013345012144000 |
| 7 | 126311644345653 |
| oct | 15772434667000 |
| 9 | 3356346578860 |
| 10 | 961342041600 |
| 11 | 34078057a646 |
| 12 | 136393608000 |
| 13 | 6c867281145 |
| 14 | 3475a1c189a |
| 15 | 1a0179c6600 |
| hex | dfd4736e00 |
961342041600 has 960 divisors, whose sum is σ = 3704646696960. Its totient is φ = 243855360000.
The previous prime is 961342041589. The next prime is 961342041601. The reversal of 961342041600 is 6140243169.
961342041600 is a `hidden beast` number, since 9 + 6 + 1 + 3 + 4 + 2 + 0 + 41 + 600 = 666.
It is a tau number, because it is divible by the number of its divisors (960).
It is a super-3 number, since 3×9613420416003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (961342041601) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 653528865 + ... + 653530335.
It is an arithmetic number, because the mean of its divisors is an integer number (3859006976).
Almost surely, 2961342041600 is an apocalyptic number.
961342041600 is a gapful number since it is divisible by the number (90) 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 961342041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852323348480).
961342041600 is an abundant number, since it is smaller than the sum of its proper divisors (2743304655360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
961342041600 is a wasteful number, since it uses less digits than its factorization.
961342041600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1600 (or 1573 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
Adding to 961342041600 its reverse (6140243169), we get a palindrome (967482284769).
The spelling of 961342041600 in words is "nine hundred sixty-one billion, three hundred forty-two million, forty-one thousand, six hundred".
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