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54228063179136 = 273711414310091031
BaseRepresentation
bin11000101010001111101000…
…11100010101000110000000
321010000011002221221212012110
430111013310130111012000
524101433033133213021
6311200010040455320
714264563646443110
oct1425076434250600
9233004087855173
1054228063179136
1116307aa0a3a790
1260b991877a540
1324348b8879602
14d5691bb43040
156408e2b35476
hex3151f4715180

54228063179136 has 1024 divisors, whose sum is σ = 188614224691200. Its totient is φ = 13395787776000.

The previous prime is 54228063179123. The next prime is 54228063179203. The reversal of 54228063179136 is 63197136082245.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52597538941 + ... + 52597539971.

It is an arithmetic number, because the mean of its divisors is an integer number (184193578800).

It is a 1-persistent number, because it is pandigital, but 2⋅54228063179136 = 108456126358272 is not.

Almost surely, 254228063179136 is an apocalyptic number.

54228063179136 is a gapful number since it is divisible by the number (56) 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 54228063179136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94307112345600).

54228063179136 is an abundant number, since it is smaller than the sum of its proper divisors (134386161512064).

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

54228063179136 is a wasteful number, since it uses less digits than its factorization.

54228063179136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 54228063179136 in words is "fifty-four trillion, two hundred twenty-eight billion, sixty-three million, one hundred seventy-nine thousand, one hundred thirty-six".