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56551755960 = 23335717440023
BaseRepresentation
bin110100101010101111…
…110101000010111000
312101222012002212012000
4310222233311002320
51411304222142320
641551324221000
74041255665040
oct645257650270
9171865085160
1056551755960
1121a8aaa02a7
12ab6309a760
1354432422bb
142a46928720
15170eb6ac90
hexd2abf50b8

56551755960 has 256 divisors, whose sum is σ = 228108441600. Its totient is φ = 12165728256.

The previous prime is 56551755937. The next prime is 56551755973. The reversal of 56551755960 is 6955715565.

56551755960 is a `hidden beast` number, since 5 + 65 + 517 + 5 + 5 + 9 + 60 = 666.

It is a super-2 number, since 2×565517559602 (a number of 22 digits) contains 22 as substring.

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 = 56551755897 and 56551755906.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 91492 + ... + 348531.

It is an arithmetic number, because the mean of its divisors is an integer number (891048600).

Almost surely, 256551755960 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 56551755960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114054220800).

56551755960 is an abundant number, since it is smaller than the sum of its proper divisors (171556685640).

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

56551755960 is a wasteful number, since it uses less digits than its factorization.

56551755960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440067 (or 440057 counting only the distinct ones).

The product of its (nonzero) digits is 7087500, while the sum is 54.

The spelling of 56551755960 in words is "fifty-six billion, five hundred fifty-one million, seven hundred fifty-five thousand, nine hundred sixty".