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48560949360 = 24335711319127
BaseRepresentation
bin101101001110011101…
…010100100001110000
311122100021222211021000
4231032131110201300
51243423100334420
634150353402000
73336246154560
oct551635244160
9148307884230
1048560949360
111965a432000
1294b2b69300
13476b89a881
1424c9574da0
1513e3389690
hexb4e754870

48560949360 has 1280 divisors, whose sum is σ = 223071436800. Its totient is φ = 9484231680.

The previous prime is 48560949323. The next prime is 48560949391. The reversal of 48560949360 is 6394906584.

48560949360 is a `hidden beast` number, since 4 + 8 + 560 + 9 + 49 + 36 + 0 = 666.

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 = 48560949297 and 48560949306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 382369617 + ... + 382369743.

It is an arithmetic number, because the mean of its divisors is an integer number (174274560).

Almost surely, 248560949360 is an apocalyptic number.

48560949360 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 48560949360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111535718400).

48560949360 is an abundant number, since it is smaller than the sum of its proper divisors (174510487440).

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

48560949360 is a wasteful number, since it uses less digits than its factorization.

48560949360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 48560949360 in words is "forty-eight billion, five hundred sixty million, nine hundred forty-nine thousand, three hundred sixty".