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54128894976 = 2103313732063
BaseRepresentation
bin110010011010010101…
…010110010000000000
312011201100001202202000
4302122111112100000
51341323444114401
640511054024000
73624236005302
oct623225262000
9164640052660
1054128894976
1120a57393a52
12a5a77a8000
1351482b0c50
142896c37972
15161c0cb186
hexc9a556400

54128894976 has 352 divisors, whose sum is σ = 175084331520. Its totient is φ = 16418930688.

The previous prime is 54128894957. The next prime is 54128894977. The reversal of 54128894976 is 67949882145.

54128894976 is a `hidden beast` number, since 5 + 41 + 28 + 89 + 497 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (54128894977) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 26236921 + ... + 26238983.

Almost surely, 254128894976 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 54128894976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87542165760).

54128894976 is an abundant number, since it is smaller than the sum of its proper divisors (120955436544).

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

54128894976 is a wasteful number, since it uses less digits than its factorization.

54128894976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2154 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 54128894976 in words is "fifty-four billion, one hundred twenty-eight million, eight hundred ninety-four thousand, nine hundred seventy-six".