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5711460608 = 2873319629
BaseRepresentation
bin1010101000110110…
…11111100100000000
3112202001010021001002
411110123133210000
543144113214413
62342424231132
7261351420440
oct52433374400
915661107032
105711460608
112470a74987
12113490b4a8
137003815b9
143c2780120
1523663e958
hex1546df900

5711460608 has 72 divisors (see below), whose sum is σ = 13069990080. Its totient is φ = 2440120320.

The previous prime is 5711460581. The next prime is 5711460619. The reversal of 5711460608 is 8060641175.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 588338 + ... + 597966.

It is an arithmetic number, because the mean of its divisors is an integer number (181527640).

Almost surely, 25711460608 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 5711460608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6534995040).

5711460608 is an abundant number, since it is smaller than the sum of its proper divisors (7358529472).

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

5711460608 is an equidigital number, since it uses as much as digits as its factorization.

5711460608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9983 (or 9969 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 5711460608 is about 75574.2059700266. The cubic root of 5711460608 is about 1787.5123948347.

The spelling of 5711460608 in words is "five billion, seven hundred eleven million, four hundred sixty thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 331 448 662 896 1324 1792 2317 2648 4634 5296 9268 9629 10592 18536 19258 21184 37072 38516 42368 67403 74144 77032 84736 134806 148288 154064 269612 296576 308128 539224 593152 616256 1078448 1232512 2156896 2465024 3187199 4313792 6374398 8627584 12748796 17255168 22310393 25497592 44620786 50995184 89241572 101990368 178483144 203980736 356966288 407961472 713932576 815922944 1427865152 2855730304 5711460608