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55057148467200 = 21132521110861969
BaseRepresentation
bin11001000010010111111011…
…10001101101100000000000
321012221102010100012022200100
430201023331301231200000
524204024020001422300
6313032523235522400
714411514315222255
oct1441137561554000
9235842110168610
1055057148467200
11165a7672a77930
12621253b759400
132494b365431b9
14d84accc4742c
156572695ba700
hex3212fdc6d800

55057148467200 has 432 divisors, whose sum is σ = 215104153937400. Its totient is φ = 13347186278400.

The previous prime is 55057148467187. The next prime is 55057148467253. The reversal of 55057148467200 is 276484175055.

It is a happy number.

55057148467200 is a `hidden beast` number, since 5 + 5 + 0 + 571 + 4 + 8 + 4 + 67 + 2 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 362185 + ... + 10499784.

Almost surely, 255057148467200 is an apocalyptic number.

55057148467200 is a gapful number since it is divisible by the number (50) 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 55057148467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107552076968700).

55057148467200 is an abundant number, since it is smaller than the sum of its proper divisors (160047005470200).

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

55057148467200 is a wasteful number, since it uses less digits than its factorization.

55057148467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10862018 (or 10861990 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 55057148467200 in words is "fifty-five trillion, fifty-seven billion, one hundred forty-eight million, four hundred sixty-seven thousand, two hundred".