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54310073328 = 243271923139887
BaseRepresentation
bin110010100101001000…
…011111001111110000
312012011221222120201100
4302211020133033300
51342211334321303
640541045204400
73631566002130
oct624510371760
9165157876640
1054310073328
112103a690a25
12a638400700
1351769a8284
1428b2d1aac0
15162ce688a3
hexca521f3f0

54310073328 has 480 divisors, whose sum is σ = 192387686400. Its totient is φ = 13944420864.

The previous prime is 54310073299. The next prime is 54310073359. The reversal of 54310073328 is 82337001345.

54310073328 is a `hidden beast` number, since 5 + 4 + 310 + 0 + 7 + 332 + 8 = 666.

54310073328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54310073292 and 54310073301.

It is a congruent number.

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, 61228501 + ... + 61229387.

It is an arithmetic number, because the mean of its divisors is an integer number (400807680).

Almost surely, 254310073328 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 54310073328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96193843200).

54310073328 is an abundant number, since it is smaller than the sum of its proper divisors (138077613072).

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

54310073328 is a wasteful number, since it uses less digits than its factorization.

54310073328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 54310073328 in words is "fifty-four billion, three hundred ten million, seventy-three thousand, three hundred twenty-eight".