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11446132053450 = 2352191569702137
BaseRepresentation
bin1010011010010000001010…
…1000101001010111001010
31111112020110121211011202110
42212210002220221113022
53000013134301202300
640202140325443150
72260645552106103
oct246440250512712
944466417734673
1011446132053450
113713306164916
12134a4065704b6
1365049a367a33
142b7dd248b3aa
1514cb180a9550
hexa6902a295ca

11446132053450 has 96 divisors (see below), whose sum is σ = 28585217571840. Its totient is φ = 3030980684800.

The previous prime is 11446132053437. The next prime is 11446132053451. The reversal of 11446132053450 is 5435023164411.

It is a junction number, because it is equal to n+sod(n) for n = 11446132053399 and 11446132053408.

It is not an unprimeable number, because it can be changed into a prime (11446132053451) 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, 15950782 + ... + 16652918.

It is an arithmetic number, because the mean of its divisors is an integer number (297762683040).

Almost surely, 211446132053450 is an apocalyptic number.

11446132053450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11446132053450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14292608785920).

11446132053450 is an abundant number, since it is smaller than the sum of its proper divisors (17139085518390).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11446132053450 is a wasteful number, since it uses less digits than its factorization.

11446132053450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702912 (or 702907 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 11446132053450 in words is "eleven trillion, four hundred forty-six billion, one hundred thirty-two million, fifty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 191 382 569 573 955 1138 1146 1707 1910 2845 2865 3414 4775 5690 5730 8535 9550 14225 14325 17070 28450 28650 42675 85350 108679 217358 326037 543395 652074 702137 1086790 1404274 1630185 2106411 2716975 3260370 3510685 4212822 5433950 7021370 8150925 10532055 16301850 17553425 21064110 35106850 52660275 105320550 134108167 268216334 399515953 402324501 670540835 799031906 804649002 1198547859 1341081670 1997579765 2011622505 2397095718 3352704175 3995159530 4023245010 5992739295 6705408350 9987898825 10058112525 11985478590 19975797650 20116225050 29963696475 59927392950 76307547023 152615094046 228922641069 381537735115 457845282138 763075470230 1144613205345 1907688675575 2289226410690 3815377351150 5723066026725 11446132053450