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5684359403520 = 211335717210163
BaseRepresentation
bin101001010110111111000…
…1110010001100000000000
3202010102022210001220022000
41102231332032101200000
51221113032001403040
620031205245344000
71124452503466050
oct122557616214000
922112283056260
105684359403520
1118a17a5768566
12779800568000
13323057074395
141591a5753560
159cce3628130
hex52b7e391800

5684359403520 has 1152 divisors, whose sum is σ = 24533424115200. Its totient is φ = 1222733463552.

The previous prime is 5684359403453. The next prime is 5684359403533. The reversal of 5684359403520 is 253049534865.

It is a happy number.

5684359403520 is a `hidden beast` number, since 5 + 6 + 8 + 43 + 594 + 0 + 3 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 559313959 + ... + 559324121.

It is an arithmetic number, because the mean of its divisors is an integer number (21296375100).

Almost surely, 25684359403520 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 5684359403520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12266712057600).

5684359403520 is an abundant number, since it is smaller than the sum of its proper divisors (18849064711680).

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

5684359403520 is a wasteful number, since it uses less digits than its factorization.

5684359403520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10240 (or 10197 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 5684359403520 in words is "five trillion, six hundred eighty-four billion, three hundred fifty-nine million, four hundred three thousand, five hundred twenty".