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5458784960 = 26524170783
BaseRepresentation
bin1010001010101111…
…00111001011000000
3112002102200000012202
411011113213023000
542134422104320
62301400412332
7252162622646
oct50527471300
915072600182
105458784960
112351383a32
1210841770a8
1368cc13095
1439ada9196
1521e37cb75
hex1455e72c0

5458784960 has 56 divisors (see below), whose sum is σ = 13052852736. Its totient is φ = 2174423040.

The previous prime is 5458784959. The next prime is 5458785023. The reversal of 5458784960 is 694878545.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5458784896 and 5458784905.

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, 41729 + ... + 112511.

It is an arithmetic number, because the mean of its divisors is an integer number (233086656).

Almost surely, 25458784960 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 5458784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6526426368).

5458784960 is an abundant number, since it is smaller than the sum of its proper divisors (7594067776).

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

5458784960 is a wasteful number, since it uses less digits than its factorization.

5458784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71041 (or 71031 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 56.

The square root of 5458784960 is about 73883.5906003491. The cubic root of 5458784960 is about 1760.7539125456.

The spelling of 5458784960 in words is "five billion, four hundred fifty-eight million, seven hundred eighty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 241 320 482 964 1205 1928 2410 3856 4820 7712 9640 15424 19280 38560 70783 77120 141566 283132 353915 566264 707830 1132528 1415660 2265056 2831320 4530112 5662640 11325280 17058703 22650560 34117406 68234812 85293515 136469624 170587030 272939248 341174060 545878496 682348120 1091756992 1364696240 2729392480 5458784960