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54733981680 = 24325719356269
BaseRepresentation
bin110010111110011001…
…100100011111110000
312020021111122100122200
4302332121210133300
51344043344403210
641051111103200
73645234111420
oct627631443760
9166244570580
1054733981680
11212379a6604
12a736371b00
13521376ac11
142913346480
1516552a10c0
hexcbe6647f0

54733981680 has 240 divisors, whose sum is σ = 211166454720. Its totient is φ = 12445581312.

The previous prime is 54733981661. The next prime is 54733981723. The reversal of 54733981680 is 8618933745.

54733981680 is a `hidden beast` number, since 5 + 473 + 3 + 9 + 8 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 944586 + ... + 1000854.

It is an arithmetic number, because the mean of its divisors is an integer number (879860228).

Almost surely, 254733981680 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 54733981680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105583227360).

54733981680 is an abundant number, since it is smaller than the sum of its proper divisors (156432473040).

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

54733981680 is a wasteful number, since it uses less digits than its factorization.

54733981680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56488 (or 56479 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 54733981680 in words is "fifty-four billion, seven hundred thirty-three million, nine hundred eighty-one thousand, six hundred eighty".