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54396264384 = 26327112111497
BaseRepresentation
bin110010101010010001…
…010001111111000000
312012101222011112121200
4302222101101333000
51342400420430014
640553404421200
73633663422040
oct625221217700
9165358145550
1054396264384
1121084300600
12a661247800
13518b7c55b7
1428c0555720
1516357e1a09
hexcaa451fc0

54396264384 has 252 divisors, whose sum is σ = 195864522672. Its totient is φ = 14128773120.

The previous prime is 54396264361. The next prime is 54396264473. The reversal of 54396264384 is 48346269345.

54396264384 is a `hidden beast` number, since 5 + 4 + 3 + 9 + 626 + 4 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 54396264384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 432124 + ... + 543620.

Almost surely, 254396264384 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 54396264384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97932261336).

54396264384 is an abundant number, since it is smaller than the sum of its proper divisors (141468258288).

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

54396264384 is a wasteful number, since it uses less digits than its factorization.

54396264384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111544 (or 111520 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 54396264384 in words is "fifty-four billion, three hundred ninety-six million, two hundred sixty-four thousand, three hundred eighty-four".