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54882056250 = 23455717911
BaseRepresentation
bin110011000111001110…
…011011100000111010
312020122211021022210000
4303013032123200322
51344344301300000
641113520533430
73652012531620
oct630716334072
9166584238700
1054882056250
112130354318a
12a777a81276
1352383445c8
142928c8d510
1516632a0000
hexcc739b83a

54882056250 has 480 divisors, whose sum is σ = 186207081984. Its totient is φ = 11793600000.

The previous prime is 54882056239. The next prime is 54882056261. The reversal of 54882056250 is 5265028845.

It is a happy number.

54882056250 is a `hidden beast` number, since 5 + 4 + 8 + 82 + 0 + 562 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54882056239) and next prime (54882056261).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 54882056196 and 54882056205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 60243295 + ... + 60244205.

Almost surely, 254882056250 is an apocalyptic number.

54882056250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54882056250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93103540992).

54882056250 is an abundant number, since it is smaller than the sum of its proper divisors (131325025734).

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

54882056250 is an equidigital number, since it uses as much as digits as its factorization.

54882056250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 54882056250 in words is "fifty-four billion, eight hundred eighty-two million, fifty-six thousand, two hundred fifty".