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56554841952 = 2533721976781
BaseRepresentation
bin110100101010111011…
…100110011101100000
312101222101220122101000
4310222323212131200
51411311014420302
641551514312000
74041324140100
oct645273463540
9171871818330
1056554841952
1121a91808904
12ab64128600
135443a82b2b
142a470cd200
15171007a31c
hexd2aee6760

56554841952 has 288 divisors, whose sum is σ = 192884963040. Its totient is φ = 16074132480.

The previous prime is 56554841939. The next prime is 56554841957. The reversal of 56554841952 is 25914845565.

56554841952 is a `hidden beast` number, since 5 + 6 + 5 + 548 + 4 + 1 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56554841957) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8336802 + ... + 8343582.

It is an arithmetic number, because the mean of its divisors is an integer number (669739455).

Almost surely, 256554841952 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 56554841952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96442481520).

56554841952 is an abundant number, since it is smaller than the sum of its proper divisors (136330121088).

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

56554841952 is a wasteful number, since it uses less digits than its factorization.

56554841952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7011 (or 6990 counting only the distinct ones).

The product of its digits is 8640000, while the sum is 54.

The spelling of 56554841952 in words is "fifty-six billion, five hundred fifty-four million, eight hundred forty-one thousand, nine hundred fifty-two".