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6441050342916 = 223672741115123
BaseRepresentation
bin101110110111010110010…
…0001001000011000000100
3211210202110212120102000000
41131232230201020120010
51321012232341433131
621410551102321300
71233231142400220
oct135565441103004
924722425512000
106441050342916
1120636a8000a92
1288039a889230
13379508536077
14183a69c53780
15b282e690ce6
hex5dbac848604

6441050342916 has 168 divisors, whose sum is σ = 19321529849664. Its totient is φ = 1839612720960.

The previous prime is 6441050342911. The next prime is 6441050342933. The reversal of 6441050342916 is 6192430501446.

6441050342916 is a `hidden beast` number, since 6 + 4 + 4 + 10 + 503 + 42 + 91 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (6441050342911) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 55891731 + ... + 56006853.

It is an arithmetic number, because the mean of its divisors is an integer number (115009106248).

Almost surely, 26441050342916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6441050342916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9660764924832).

6441050342916 is an abundant number, since it is smaller than the sum of its proper divisors (12880479506748).

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

6441050342916 is a wasteful number, since it uses less digits than its factorization.

6441050342916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117893 (or 117876 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 6441050342916 in words is "six trillion, four hundred forty-one billion, fifty million, three hundred forty-two thousand, nine hundred sixteen".