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55150444800 = 28325211241193
BaseRepresentation
bin110011010111001110…
…010000000100000000
312021100112021212122200
4303113032100010000
51400422003213200
641200305233200
73661452021543
oct632716200400
9167315255580
1055150444800
1121430a96500
12a831932800
13527bb24ab9
14295279485a
15167bb17800
hexcd7390100

55150444800 has 972 divisors, whose sum is σ = 223166297172. Its totient is φ = 12976128000.

The previous prime is 55150444799. The next prime is 55150444807. The reversal of 55150444800 is 844405155.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 15527153664 + 39623291136 = 124608^2 + 199056^2 .

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

It is not an unprimeable number, because it can be changed into a prime (55150444807) 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 107 ways as a sum of consecutive naturals, for example, 285753504 + ... + 285753696.

Almost surely, 255150444800 is an apocalyptic number.

55150444800 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 55150444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111583148586).

55150444800 is an abundant number, since it is smaller than the sum of its proper divisors (168015852372).

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

55150444800 is a wasteful number, since it uses less digits than its factorization.

55150444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 55150444800 its reverse (844405155), we get a palindrome (55994849955).

The spelling of 55150444800 in words is "fifty-five billion, one hundred fifty million, four hundred forty-four thousand, eight hundred".