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54217247840 = 2557198928627
BaseRepresentation
bin110010011111100110…
…011000110001100000
312011221111022120002022
4302133212120301200
51342014103412330
640523531441012
73626361000650
oct623746306140
9164844276068
1054217247840
1120aa224a848
12a6112b6168
1351606a7252
1428a4876360
151624c2eae5
hexc9f998c60

54217247840 has 192 divisors, whose sum is σ = 155827929600. Its totient is φ = 17411936256.

The previous prime is 54217247831. The next prime is 54217247863. The reversal of 54217247840 is 4874271245.

It is a junction number, because it is equal to n+sod(n) for n = 54217247791 and 54217247800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1879607 + ... + 1908233.

It is an arithmetic number, because the mean of its divisors is an integer number (811603800).

Almost surely, 254217247840 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 54217247840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77913964800).

54217247840 is an abundant number, since it is smaller than the sum of its proper divisors (101610681760).

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

54217247840 is a wasteful number, since it uses less digits than its factorization.

54217247840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28757 (or 28749 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 44.

The spelling of 54217247840 in words is "fifty-four billion, two hundred seventeen million, two hundred forty-seven thousand, eight hundred forty".