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1834850189568 = 283112937414937
BaseRepresentation
bin11010101100110101100…
…110000000000100000000
320111102001212100020010110
4122230311212000010000
5220030233122031233
63522530223231320
7246364204164204
oct32546546000400
96442055306113
101834850189568
11648179108950
12257733748540
13104044405356
1464b4303cb04
1532ade395663
hex1ab35980100

1834850189568 has 576 divisors, whose sum is σ = 5799190360320. Its totient is φ = 509489971200.

The previous prime is 1834850189567. The next prime is 1834850189617. The reversal of 1834850189568 is 8659810584381.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1834850189499 and 1834850189508.

It is not an unprimeable number, because it can be changed into a prime (1834850189567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371650396 + ... + 371655332.

It is an arithmetic number, because the mean of its divisors is an integer number (10068038820).

Almost surely, 21834850189568 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 1834850189568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899595180160).

1834850189568 is an abundant number, since it is smaller than the sum of its proper divisors (3964340170752).

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

1834850189568 is a wasteful number, since it uses less digits than its factorization.

1834850189568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5074 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 66.

The spelling of 1834850189568 in words is "one trillion, eight hundred thirty-four billion, eight hundred fifty million, one hundred eighty-nine thousand, five hundred sixty-eight".