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55434055248 = 2432112134147127
BaseRepresentation
bin110011101000001000…
…001000111001010000
312022002021221210001100
4303220020020321100
51402012104231443
641244400104400
74001464460265
oct635010107120
9168067853040
1055434055248
1121567096200
12a8b0905100
1352c5804930
14297c2dd26c
15169698a3d3
hexce8208e50

55434055248 has 720 divisors, whose sum is σ = 193635606528. Its totient is φ = 14689382400.

The previous prime is 55434055247. The next prime is 55434055273. The reversal of 55434055248 is 84255043455.

55434055248 is a `hidden beast` number, since 5 + 54 + 3 + 4 + 0 + 552 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55434055247) 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 143 ways as a sum of consecutive naturals, for example, 436488561 + ... + 436488687.

Almost surely, 255434055248 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 55434055248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96817803264).

55434055248 is an abundant number, since it is smaller than the sum of its proper divisors (138201551280).

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

55434055248 is a wasteful number, since it uses less digits than its factorization.

55434055248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 55434055248 in words is "fifty-five billion, four hundred thirty-four million, fifty-five thousand, two hundred forty-eight".