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5842808640 = 26355292591
BaseRepresentation
bin1010111000100001…
…00010111101000000
3120002012021102200000
411130100202331000
543431224334030
62403435400000
7264535024344
oct53420427500
916065242600
105842808640
112529127679
1211708b3000
1372164c826
143d5db1624
15242e37860
hex15c422f40

5842808640 has 336 divisors, whose sum is σ = 21568135680. Its totient is φ = 1503774720.

The previous prime is 5842808561. The next prime is 5842808663. The reversal of 5842808640 is 468082485.

5842808640 is a `hidden beast` number, since 584 + 2 + 8 + 0 + 8 + 64 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2253745 + ... + 2256335.

It is an arithmetic number, because the mean of its divisors is an integer number (64190880).

Almost surely, 25842808640 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 5842808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10784067840).

5842808640 is an abundant number, since it is smaller than the sum of its proper divisors (15725327040).

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

5842808640 is a wasteful number, since it uses less digits than its factorization.

5842808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 5842808640 is about 76438.2668563332. The cubic root of 5842808640 is about 1801.1113137376. Note that the first 3 decimals are identical.

The spelling of 5842808640 in words is "five billion, eight hundred forty-two million, eight hundred eight thousand, six hundred forty".