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54556010597088 = 253271113243333619
BaseRepresentation
bin11000110011110010011111…
…01000011100101011100000
321011011111121011212211002100
430121321033220130223200
524122321202203101323
6312010404004050400
714330353541502210
oct1431711750345340
9234144534784070
1054556010597088
111642408a789810
1261513a1693a00
1324597c0745500
14d6874c868240
156491d8b20943
hex319e4fa1cae0

54556010597088 has 864 divisors, whose sum is σ = 209939260527360. Its totient is φ = 13049765314560.

The previous prime is 54556010597071. The next prime is 54556010597093. The reversal of 54556010597088 is 88079501065545.

54556010597088 is a `hidden beast` number, since 5 + 4 + 5 + 560 + 10 + 59 + 7 + 0 + 8 + 8 = 666.

54556010597088 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 (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1622756343 + ... + 1622789961.

It is an arithmetic number, because the mean of its divisors is an integer number (242985255240).

Almost surely, 254556010597088 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 54556010597088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104969630263680).

54556010597088 is an abundant number, since it is smaller than the sum of its proper divisors (155383249930272).

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

54556010597088 is a wasteful number, since it uses less digits than its factorization.

54556010597088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34112 (or 34088 counting only the distinct ones).

The product of its (nonzero) digits is 60480000, while the sum is 63.

The spelling of 54556010597088 in words is "fifty-four trillion, five hundred fifty-six billion, ten million, five hundred ninety-seven thousand, eighty-eight".