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54488862720 = 2123251915559
BaseRepresentation
bin110010101111110010…
…100001000000000000
312012122102102000122200
4302233302201000000
51343043122101340
641010513233200
73636166456035
oct625762410000
9165572360580
1054488862720
11211215a7056
12a688262800
1351a4a47106
1428cc97b38c
15163d9d3330
hexcafca1000

54488862720 has 312 divisors, whose sum is σ = 198825057600. Its totient is φ = 13764722688.

The previous prime is 54488862713. The next prime is 54488862797. The reversal of 54488862720 is 2726888445.

54488862720 is a `hidden beast` number, since 5 + 4 + 4 + 8 + 8 + 8 + 627 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3494301 + ... + 3509859.

It is an arithmetic number, because the mean of its divisors is an integer number (637259800).

Almost surely, 254488862720 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 54488862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99412528800).

54488862720 is an abundant number, since it is smaller than the sum of its proper divisors (144336194880).

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

54488862720 is a wasteful number, since it uses less digits than its factorization.

54488862720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15613 (or 15588 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 54488862720 in words is "fifty-four billion, four hundred eighty-eight million, eight hundred sixty-two thousand, seven hundred twenty".