Base | Representation |
---|---|
bin | 10011000000011011010001… |
… | …00001110000000000000000 |
3 | 12110222122222201010122200111 |
4 | 21200031220201300000000 |
5 | 20434241333042411300 |
6 | 224520504305201104 |
7 | 11542444556616130 |
oct | 1140155041600000 |
9 | 173878881118614 |
10 | 41796080435200 |
11 | 12354688869703 |
12 | 483043a930194 |
13 | 1a42479771750 |
14 | a46d264b0ac0 |
15 | 4c732a5dc9ba |
hex | 260368870000 |
41796080435200 has 816 divisors, whose sum is σ = 131703362000896. Its totient is φ = 12799652659200.
The previous prime is 41796080435099. The next prime is 41796080435203. The reversal of 41796080435200 is 253408069714.
It is a happy number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (41796080435203) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4621921879 + ... + 4621930921.
It is a 2-persistent number, because it is pandigital, and so is 2⋅41796080435200 = 83592160870400, but 3⋅41796080435200 = 125388241305600 is not.
Almost surely, 241796080435200 is an apocalyptic number.
41796080435200 is a gapful number since it is divisible by the number (40) 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 41796080435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65851681000448).
41796080435200 is an abundant number, since it is smaller than the sum of its proper divisors (89907281565696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41796080435200 is an equidigital number, since it uses as much as digits as its factorization.
41796080435200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9136 (or 9101 counting only the distinct ones).
The product of its (nonzero) digits is 1451520, while the sum is 49.
The spelling of 41796080435200 in words is "forty-one trillion, seven hundred ninety-six billion, eighty million, four hundred thirty-five thousand, two hundred".
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