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54681716880 = 24325737973023
BaseRepresentation
bin110010111011010010…
…001100100010010000
312020010212022000211100
4302323102030202100
51343442004420010
641042002544400
73644030632050
oct627322144220
9166125260740
1054681716880
112121044925a
12a720968100
13520599b9bb
14290a41d560
1516508ca2c0
hexcbb48c890

54681716880 has 480 divisors, whose sum is σ = 217840057344. Its totient is φ = 12031524864.

The previous prime is 54681716861. The next prime is 54681716891. The reversal of 54681716880 is 8861718645.

It is a happy number.

54681716880 is a `hidden beast` number, since 5 + 468 + 17 + 168 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18087049 + ... + 18090071.

Almost surely, 254681716880 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 54681716880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108920028672).

54681716880 is an abundant number, since it is smaller than the sum of its proper divisors (163158340464).

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

54681716880 is a wasteful number, since it uses less digits than its factorization.

54681716880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3183 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 54681716880 in words is "fifty-four billion, six hundred eighty-one million, seven hundred sixteen thousand, eight hundred eighty".