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54464777856 = 2732412235171
BaseRepresentation
bin110010101110010110…
…101000111010000000
312012120202002101102200
4302232112220322000
51343020440342411
641004253113200
73635454654546
oct625626507200
9165522071380
1054464777856
1121109a46805
12a680188800
13519ca63608
1428c96abd96
15163b826e56
hexcae5a8e80

54464777856 has 192 divisors, whose sum is σ = 161301853440. Its totient is φ = 17629286400.

The previous prime is 54464777821. The next prime is 54464777893. The reversal of 54464777856 is 65877746445.

54464777856 is a `hidden beast` number, since 5 + 4 + 46 + 477 + 78 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 54464777793 and 54464777802.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10530151 + ... + 10535321.

It is an arithmetic number, because the mean of its divisors is an integer number (840113820).

Almost surely, 254464777856 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 54464777856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80650926720).

54464777856 is an abundant number, since it is smaller than the sum of its proper divisors (106837075584).

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

54464777856 is a wasteful number, since it uses less digits than its factorization.

54464777856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5455 (or 5440 counting only the distinct ones).

The product of its digits is 158054400, while the sum is 63.

The spelling of 54464777856 in words is "fifty-four billion, four hundred sixty-four million, seven hundred seventy-seven thousand, eight hundred fifty-six".