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54180856045056 = 29313295910714821
BaseRepresentation
bin11000101000110111101101…
…01011011001111000000000
321002211122021000101222101010
430110123312223121320000
524100144343121420211
6311122201444040520
714261303056433436
oct1424336653317000
9232748230358333
1054180856045056
1116299a76822194
1260b0743093140
132430304609890
14d545202dad56
1563e57d56b4a6
hex3146f6ad9e00

54180856045056 has 640 divisors, whose sum is σ = 165069459878400. Its totient is φ = 15674413547520.

The previous prime is 54180856045051. The next prime is 54180856045153. The reversal of 54180856045056 is 65054065808145.

It is a junction number, because it is equal to n+sod(n) for n = 54180856044987 and 54180856045005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54180856045051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3655674126 + ... + 3655688946.

It is an arithmetic number, because the mean of its divisors is an integer number (257921031060).

Almost surely, 254180856045056 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 54180856045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82534729939200).

54180856045056 is an abundant number, since it is smaller than the sum of its proper divisors (110888603833344).

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

54180856045056 is a wasteful number, since it uses less digits than its factorization.

54180856045056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15050 (or 15034 counting only the distinct ones).

The product of its (nonzero) digits is 23040000, while the sum is 57.

The spelling of 54180856045056 in words is "fifty-four trillion, one hundred eighty billion, eight hundred fifty-six million, forty-five thousand, fifty-six".