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55284408000 = 2632531731247
BaseRepresentation
bin110011011111001101…
…010001111011000000
312021200212100220121200
4303133031101323000
51401210302024000
641221452421200
73664666500033
oct633715217300
9167625326550
1055284408000
112149a674a98
12a86a777800
1352a07ca473
1429664a701a
15168877a500
hexcdf351ec0

55284408000 has 1008 divisors, whose sum is σ = 220970685312. Its totient is φ = 13142016000.

The previous prime is 55284407989. The next prime is 55284408043. The reversal of 55284408000 is 80448255.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1176263977 + ... + 1176264023.

Almost surely, 255284408000 is an apocalyptic number.

55284408000 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 55284408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110485342656).

55284408000 is an abundant number, since it is smaller than the sum of its proper divisors (165686277312).

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

55284408000 is a wasteful number, since it uses less digits than its factorization.

55284408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 55284408000 in words is "fifty-five billion, two hundred eighty-four million, four hundred eight thousand".