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5704609680 = 2435571137103
BaseRepresentation
bin1010101000000010…
…10110111110010000
3112201120020012100000
411110001112332100
543140340002210
62342021330000
7261236245050
oct52401267620
915646205300
105704609680
112468115760
121132566900
136cbb231b3
143c18b9560
15235c39ac0
hex154056f90

5704609680 has 960 divisors, whose sum is σ = 25686355968. Its totient is φ = 1142138880.

The previous prime is 5704609657. The next prime is 5704609681. The reversal of 5704609680 is 869064075.

It is a super-2 number, since 2×57046096802 = 65085143202299404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5704609681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55384509 + ... + 55384611.

Almost surely, 25704609680 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 5704609680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12843177984).

5704609680 is an abundant number, since it is smaller than the sum of its proper divisors (19981746288).

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

5704609680 is a wasteful number, since it uses less digits than its factorization.

5704609680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5704609680 is about 75528.8665345906. The cubic root of 5704609680 is about 1786.7973986046.

The spelling of 5704609680 in words is "five billion, seven hundred four million, six hundred nine thousand, six hundred eighty".