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56313324000 = 253253109113127
BaseRepresentation
bin110100011100100010…
…010010000111100000
312101100120110021000200
4310130202102013200
51410312202332000
641511525545200
74032332233113
oct643442220740
9171316407020
1056313324000
112197844889a
12aab7275200
135405a200bb
142a22dc057a
1516e8c6e500
hexd1c8921e0

56313324000 has 576 divisors, whose sum is σ = 205076551680. Its totient is φ = 14631321600.

The previous prime is 56313323999. The next prime is 56313324017. The reversal of 56313324000 is 42331365.

It is a happy number.

56313324000 is a `hidden beast` number, since 5 + 631 + 3 + 3 + 24 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 443411937 + ... + 443412063.

It is an arithmetic number, because the mean of its divisors is an integer number (356035680).

Almost surely, 256313324000 is an apocalyptic number.

56313324000 is a gapful number since it is divisible by the number (50) 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 56313324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102538275840).

56313324000 is an abundant number, since it is smaller than the sum of its proper divisors (148763227680).

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

56313324000 is a wasteful number, since it uses less digits than its factorization.

56313324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 56313324000 its reverse (42331365), we get a palindrome (56355655365).

The spelling of 56313324000 in words is "fifty-six billion, three hundred thirteen million, three hundred twenty-four thousand".