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835305397056 = 26331347237873
BaseRepresentation
bin11000010011111000001…
…01001101101101000000
32221212001212110201221000
430021330011031231000
5102141201140201211
61435422313332000
7114230434503534
oct14117405155500
92855055421830
10835305397056
112a2284136099
12115a7a107000
13609cc53a870
142c60124bbc4
1516adca9a656
hexc27c14db40

835305397056 has 224 divisors, whose sum is σ = 2645434709120. Its totient is φ = 256929988608.

The previous prime is 835305397051. The next prime is 835305397067. The reversal of 835305397056 is 650793503538.

835305397056 is a `hidden beast` number, since 8 + 3 + 5 + 30 + 539 + 70 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 835305396993 and 835305397011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (835305397051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106093536 + ... + 106101408.

It is an arithmetic number, because the mean of its divisors is an integer number (11809976380).

Almost surely, 2835305397056 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 835305397056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322717354560).

835305397056 is an abundant number, since it is smaller than the sum of its proper divisors (1810129312064).

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

835305397056 is a wasteful number, since it uses less digits than its factorization.

835305397056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12630 (or 12614 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 835305397056 in words is "eight hundred thirty-five billion, three hundred five million, three hundred ninety-seven thousand, fifty-six".