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56543943456 = 253471113193137
BaseRepresentation
bin110100101010010010…
…000001101100100000
312101221122101221110000
4310222102001230200
51411300222142311
641550444540000
74041132406050
oct645222015440
9171848357400
1056543943456
1121a86644690
12ab60551600
135441738310
142a45893560
15170e126056
hexd2a481b20

56543943456 has 1920 divisors, whose sum is σ = 249165987840. Its totient is φ = 12093235200.

The previous prime is 56543943451. The next prime is 56543943461. The reversal of 56543943456 is 65434934565.

56543943456 is a `hidden beast` number, since 5 + 6 + 543 + 9 + 43 + 4 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (56543943451) and next prime (56543943461).

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

It is not an unprimeable number, because it can be changed into a prime (56543943451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1528214670 + ... + 1528214706.

It is an arithmetic number, because the mean of its divisors is an integer number (129773952).

Almost surely, 256543943456 is an apocalyptic number.

56543943456 is a gapful number since it is divisible by the number (56) 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 56543943456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124582993920).

56543943456 is an abundant number, since it is smaller than the sum of its proper divisors (192622044384).

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

56543943456 is a wasteful number, since it uses less digits than its factorization.

56543943456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 54.

It can be divided in two parts, 56543 and 943456, that added together give a palindrome (999999).

The spelling of 56543943456 in words is "fifty-six billion, five hundred forty-three million, nine hundred forty-three thousand, four hundred fifty-six".