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5727916280394 = 23371123437011987
BaseRepresentation
bin101001101011010001001…
…1010100100101001001010
3202021120202100000111121000
41103112202122210221022
51222321233031433034
620103211324355430
71130554051025220
oct123264232445112
922246670014530
105727916280394
111909217460870
127861376a5b76
133271a8cb87c9
1415b338486b10
159dee2504599
hex535a26a4a4a

5727916280394 has 512 divisors, whose sum is σ = 16977349509120. Its totient is φ = 1387308384000.

The previous prime is 5727916280393. The next prime is 5727916280431. The reversal of 5727916280394 is 4930826197275.

5727916280394 is a `hidden beast` number, since 5 + 7 + 2 + 7 + 9 + 162 + 80 + 394 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5727916280393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2882694669 + ... + 2882696655.

It is an arithmetic number, because the mean of its divisors is an integer number (33158885760).

It is a 1-persistent number, because it is pandigital, but 2⋅5727916280394 = 11455832560788 is not.

Almost surely, 25727916280394 is an apocalyptic number.

5727916280394 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5727916280394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8488674754560).

5727916280394 is an abundant number, since it is smaller than the sum of its proper divisors (11249433228726).

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

5727916280394 is a wasteful number, since it uses less digits than its factorization.

5727916280394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 5727916280394 in words is "five trillion, seven hundred twenty-seven billion, nine hundred sixteen million, two hundred eighty thousand, three hundred ninety-four".