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48356559360 = 29345233201
BaseRepresentation
bin101101000010010001…
…101000101000000000
311121211001101201220000
4231002101220220000
51243013234344420
634114212520000
73331214654424
oct550221505000
9147731351800
1048356559360
111956502084a
129456620000
134738437345
1424aa36cb84
1513d0464690
hexb42468a00

48356559360 has 200 divisors, whose sum is σ = 173198658996. Its totient is φ = 12895027200.

The previous prime is 48356559337. The next prime is 48356559379. The reversal of 48356559360 is 6395565384.

It is a happy number.

48356559360 is a `hidden beast` number, since 4 + 8 + 3 + 56 + 559 + 36 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47845437696 + 511121664 = 218736^2 + 22608^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 48356559297 and 48356559306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 90760 + ... + 323960.

Almost surely, 248356559360 is an apocalyptic number.

48356559360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48356559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86599329498).

48356559360 is an abundant number, since it is smaller than the sum of its proper divisors (124842099636).

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

48356559360 is an equidigital number, since it uses as much as digits as its factorization.

48356559360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233236 (or 233211 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 48356559360 in words is "forty-eight billion, three hundred fifty-six million, five hundred fifty-nine thousand, three hundred sixty".