Search a number
-
+
5984395522560 = 2932571315111889
BaseRepresentation
bin101011100010101100111…
…0001001111001000000000
3210012002202210221222001100
41113011121301033020000
51241022020223210220
620421105432534400
71155233620433640
oct127053161171000
923162683858040
105984395522560
1119a7a71294604
12807995b51400
1334543150b1b0
141699095b8520
15a5a0406dd90
hex57159c4f200

5984395522560 has 960 divisors, whose sum is σ = 25538880407040. Its totient is φ = 1261138083840.

The previous prime is 5984395522529. The next prime is 5984395522577. The reversal of 5984395522560 is 652255934895.

5984395522560 is a `hidden beast` number, since 5 + 9 + 8 + 43 + 9 + 5 + 5 + 22 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 3168022096 + ... + 3168023984.

It is an arithmetic number, because the mean of its divisors is an integer number (26603000424).

Almost surely, 25984395522560 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 5984395522560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12769440203520).

5984395522560 is an abundant number, since it is smaller than the sum of its proper divisors (19554484884480).

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

5984395522560 is a wasteful number, since it uses less digits than its factorization.

5984395522560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 116640000, while the sum is 63.

The spelling of 5984395522560 in words is "five trillion, nine hundred eighty-four billion, three hundred ninety-five million, five hundred twenty-two thousand, five hundred sixty".