| Base | Representation |
|---|---|
| bin | 11000100111011101001110… |
| … | …10001111000000000000000 |
| 3 | 21002122222212121201021111000 |
| 4 | 30103232213101320000000 |
| 5 | 24043400402000444014 |
| 6 | 311044005324052000 |
| 7 | 14254633226141220 |
| oct | 1423564721700000 |
| 9 | 232588777637430 |
| 10 | 54132279312384 |
| 11 | 1628040949aa29 |
| 12 | 60a3246994000 |
| 13 | 24288626a3c90 |
| 14 | d52032a18080 |
| 15 | 63d188b15509 |
| hex | 313ba7478000 |
54132279312384 has 3072 divisors, whose sum is σ = 218210536857600. Its totient is φ = 12893080780800.
The previous prime is 54132279312373. The next prime is 54132279312431. The reversal of 54132279312384 is 48321397223145.
54132279312384 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 227 + 9 + 31 + 2 + 384 = 666.
It is a tau number, because it is divible by the number of its divisors (3072).
It is a Harshad number since it is a multiple of its sum of digits (54).
Its product of digits (8709120) is a multiple of the sum of its prime divisors (120).
It is a self number, because there is not a number n which added to its sum of digits gives 54132279312384.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1320299495404 + ... + 1320299495444.
It is an arithmetic number, because the mean of its divisors is an integer number (71032075800).
Almost surely, 254132279312384 is an apocalyptic number.
54132279312384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 54132279312384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109105268428800).
54132279312384 is an abundant number, since it is smaller than the sum of its proper divisors (164078257545216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54132279312384 is a wasteful number, since it uses less digits than its factorization.
54132279312384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 177 (or 120 counting only the distinct ones).
The product of its digits is 8709120, while the sum is 54.
The spelling of 54132279312384 in words is "fifty-four trillion, one hundred thirty-two billion, two hundred seventy-nine million, three hundred twelve thousand, three hundred eighty-four".
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