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5820889810320 = 24325131761599701
BaseRepresentation
bin101010010110100100000…
…0100011100010110010000
3202121110201211010011221100
41110231020010130112100
51230332140242412240
620214025130024400
71140355035010224
oct124551004342620
922543654104840
105820889810320
111944697602a02
127a0164278100
13332ba4b84c40
14161a3825a784
15a1634946e30
hex54b4811c590

5820889810320 has 480 divisors, whose sum is σ = 22656041108064. Its totient is φ = 1326440448000.

The previous prime is 5820889810313. The next prime is 5820889810321. The reversal of 5820889810320 is 230189880285.

It can be written as a sum of positive squares in 16 ways, for example, as 1114350474384 + 4706539335936 = 1055628^2 + 2169456^2 .

It is not an unprimeable number, because it can be changed into a prime (5820889810321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9406470 + ... + 10006170.

Almost surely, 25820889810320 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 5820889810320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11328020554032).

5820889810320 is an abundant number, since it is smaller than the sum of its proper divisors (16835151297744).

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

5820889810320 is a wasteful number, since it uses less digits than its factorization.

5820889810320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599811 (or 599802 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 5820889810320 in words is "five trillion, eight hundred twenty billion, eight hundred eighty-nine million, eight hundred ten thousand, three hundred twenty".