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55245859200 = 27325271914423
BaseRepresentation
bin110011011100111010…
…001110100110000000
312021121011211102121100
4303130322032212000
51401120414443300
641213554254400
73664021024620
oct633472164600
9167534742540
1055245859200
112147a935784
12a859887400
13529582131c
142961310880
1516851b3700
hexcdce8e980

55245859200 has 576 divisors, whose sum is σ = 237165177600. Its totient is φ = 11962183680.

The previous prime is 55245859169. The next prime is 55245859231. The reversal of 55245859200 is 295854255.

55245859200 is a `hidden beast` number, since 5 + 5 + 2 + 4 + 58 + 592 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55245859169) and next prime (55245859231).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3823189 + ... + 3837611.

It is an arithmetic number, because the mean of its divisors is an integer number (411745100).

Almost surely, 255245859200 is an apocalyptic number.

55245859200 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 55245859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118582588800).

55245859200 is an abundant number, since it is smaller than the sum of its proper divisors (181919318400).

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

55245859200 is a wasteful number, since it uses less digits than its factorization.

55245859200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14479 (or 14459 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 55245859200 in words is "fifty-five billion, two hundred forty-five million, eight hundred fifty-nine thousand, two hundred".