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56943804453120 = 283551321083287
BaseRepresentation
bin11001111001010010000110…
…01111001001000100000000
321110121202220122021200100000
430330221003033021010000
524430431402414444440
6321035342253200000
714665024362420564
oct1474510317110400
9243552818250300
1056943804453120
1117164806101302
126478110a90000
1325a0a15857700
14100c14835b6a4
1568b38bb06730
hex33ca433c9100

56943804453120 has 648 divisors, whose sum is σ = 221242499464896. Its totient is φ = 14016923541504.

The previous prime is 56943804453061. The next prime is 56943804453199. The reversal of 56943804453120 is 2135440834965.

It is a happy number.

56943804453120 is a `hidden beast` number, since 5 + 6 + 9 + 4 + 3 + 80 + 4 + 4 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52024117 + ... + 53107403.

Almost surely, 256943804453120 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 56943804453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110621249732448).

56943804453120 is an abundant number, since it is smaller than the sum of its proper divisors (164298695011776).

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

56943804453120 is a wasteful number, since it uses less digits than its factorization.

56943804453120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083349 (or 1083310 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 56943804453120 in words is "fifty-six trillion, nine hundred forty-three billion, eight hundred four million, four hundred fifty-three thousand, one hundred twenty".