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48986083584 = 2834292532
BaseRepresentation
bin101101100111110011…
…000101000100000000
311200102220221212210000
4231213303011010000
51300310414133314
634300501440000
73352630561134
oct554763050400
9150386855700
1048986083584
11198584046a9
1295b1410000
13480899c499
142529bdd3c4
15141a865209
hexb67cc5100

48986083584 has 405 divisors, whose sum is σ = 154186295263. Its totient is φ = 15468171264.

The previous prime is 48986083571. The next prime is 48986083649. The reversal of 48986083584 is 48538068984.

The square root of 48986083584 is 221328.

It is a perfect power (a square), and thus also a powerful number.

48986083584 is a `hidden beast` number, since 48 + 9 + 8 + 6 + 0 + 8 + 3 + 584 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3073593600 + 45912489984 = 55440^2 + 214272^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 924265702 + ... + 924265754.

Almost surely, 248986083584 is an apocalyptic number.

48986083584 is the 221328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48986083584

48986083584 is an abundant number, since it is smaller than the sum of its proper divisors (105200211679).

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

48986083584 is an frugal number, since it uses more digits than its factorization.

48986083584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 48986083584 in words is "forty-eight billion, nine hundred eighty-six million, eighty-three thousand, five hundred eighty-four".