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55243468800 = 2123352132953
BaseRepresentation
bin110011011100110001…
…000111000000000000
312021121000022222121000
4303130301013000000
51401114312000200
641213431132000
73663661510542
oct633461070000
9167530288530
1055243468800
1121479552843
12a858b14000
1352951952a0
142960c8b692
151684d90300
hexcdcc47000

55243468800 has 1248 divisors, whose sum is σ = 230357131200. Its totient is φ = 12881756160.

The previous prime is 55243468793. The next prime is 55243468901. The reversal of 55243468800 is 886434255.

55243468800 is a `hidden beast` number, since 5 + 524 + 3 + 46 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1042329574 + ... + 1042329626.

Almost surely, 255243468800 is an apocalyptic number.

55243468800 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 55243468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115178565600).

55243468800 is an abundant number, since it is smaller than the sum of its proper divisors (175113662400).

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

55243468800 is a wasteful number, since it uses less digits than its factorization.

55243468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 55243468800 in words is "fifty-five billion, two hundred forty-three million, four hundred sixty-eight thousand, eight hundred".