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56443809960 = 23345196115031
BaseRepresentation
bin110100100100010100…
…000011000010101000
312101200122222122010000
4310210110003002220
51411044103404320
641532510423000
74035505316466
oct644424030250
9171618878100
1056443809960
1121a3507192a
12ab32b01a60
135426a78b25
142a36469836
151705446c90
hexd245030a8

56443809960 has 320 divisors, whose sum is σ = 202986115200. Its totient is φ = 14024793600.

The previous prime is 56443809937. The next prime is 56443809997. The reversal of 56443809960 is 6990834465.

56443809960 is a `hidden beast` number, since 5 + 64 + 438 + 0 + 99 + 60 = 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 = 56443809897 and 56443809906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3747645 + ... + 3762675.

It is an arithmetic number, because the mean of its divisors is an integer number (634331610).

Almost surely, 256443809960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56443809960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101493057600).

56443809960 is an abundant number, since it is smaller than the sum of its proper divisors (146542305240).

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

56443809960 is a wasteful number, since it uses less digits than its factorization.

56443809960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15134 (or 15121 counting only the distinct ones).

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

The spelling of 56443809960 in words is "fifty-six billion, four hundred forty-three million, eight hundred nine thousand, nine hundred sixty".