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56823840000 = 28325439461
BaseRepresentation
bin110100111010111101…
…101111110100000000
312102200011002011022200
4310322331233310000
51412333400340000
642034324033200
74051101446004
oct647275576400
9172604064280
1056823840000
112210a638044
12b01a232800
135487717885
142a70b12704
1517289b3500
hexd3af6fd00

56823840000 has 270 divisors, whose sum is σ = 204736077546. Its totient is φ = 15152640000.

The previous prime is 56823839981. The next prime is 56823840013. The reversal of 56823840000 is 4832865.

It can be written as a sum of positive squares in 5 ways, for example, as 27918399744 + 28905440256 = 167088^2 + 170016^2 .

It is a super-3 number, since 3×568238400003 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1420270 + ... + 1459730.

Almost surely, 256823840000 is an apocalyptic number.

56823840000 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 56823840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102368038773).

56823840000 is an abundant number, since it is smaller than the sum of its proper divisors (147912237546).

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

56823840000 is an equidigital number, since it uses as much as digits as its factorization.

56823840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39503 (or 39471 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 56823840000 in words is "fifty-six billion, eight hundred twenty-three million, eight hundred forty thousand".