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56423545531584 = 2637211192310312113
BaseRepresentation
bin11001101010001001000010…
…11000110110110011000000
321101210001000220100010021020
430311010201120312303000
524343420410124002314
6320000341411025440
714612316025514100
oct1465044130666300
9241701026303236
1056423545531584
1116a84100548250
1263b331729b280
1325639434b78ca
14dd0cb26d3200
1567ca8c65eda9
hex335121636cc0

56423545531584 has 1344 divisors, whose sum is σ = 210127048335360. Its totient is φ = 13150446059520.

The previous prime is 56423545531403. The next prime is 56423545531631. The reversal of 56423545531584 is 48513554532465.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 4658092312 + ... + 4658104424.

Almost surely, 256423545531584 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 56423545531584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105063524167680).

56423545531584 is an abundant number, since it is smaller than the sum of its proper divisors (153703502803776).

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

56423545531584 is a wasteful number, since it uses less digits than its factorization.

56423545531584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12298 (or 12281 counting only the distinct ones).

The product of its digits is 172800000, while the sum is 60.

The spelling of 56423545531584 in words is "fifty-six trillion, four hundred twenty-three billion, five hundred forty-five million, five hundred thirty-one thousand, five hundred eighty-four".