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55330565400 = 233552112972
BaseRepresentation
bin110011100001111101…
…010110110100011000
312021211002012221200000
4303201331112310120
51401304111043100
641230222013000
73666100021515
oct634175266430
9167732187600
1055330565400
1121513730800
12a882117160
1352aa23b836
14296c68030c
15168c846900
hexce1f56d18

55330565400 has 648 divisors, whose sum is σ = 214017591060. Its totient is φ = 13275187200.

The previous prime is 55330565383. The next prime is 55330565401. The reversal of 55330565400 is 456503355.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

55330565400 is a `hidden beast` number, since 5 + 53 + 3 + 0 + 565 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×553305654002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55330565401) by changing a digit.

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 161 ways as a sum of consecutive naturals, for example, 570418152 + ... + 570418248.

Almost surely, 255330565400 is an apocalyptic number.

55330565400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a pronic number, being equal to 235224×235225.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55330565400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107008795530).

55330565400 is an abundant number, since it is smaller than the sum of its proper divisors (158687025660).

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

55330565400 is a wasteful number, since it uses less digits than its factorization.

55330565400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 55330565400 in words is "fifty-five billion, three hundred thirty million, five hundred sixty-five thousand, four hundred".