Search a number
-
+
55388080800 = 253352131741283
BaseRepresentation
bin110011100101011000…
…110000101010100000
312021222002110000222000
4303211120300222200
51401413322041200
641240034444000
74000365630063
oct634530605240
9167862400860
1055388080800
1121543144998
12a899433600
1352b9128910
1429761728da
151692908300
hexce5630aa0

55388080800 has 1152 divisors, whose sum is σ = 234817470720. Its totient is φ = 12474777600.

The previous prime is 55388080799. The next prime is 55388080849. The reversal of 55388080800 is 808088355.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 195717459 + ... + 195717741.

It is an arithmetic number, because the mean of its divisors is an integer number (203834610).

Almost surely, 255388080800 is an apocalyptic number.

55388080800 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 55388080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117408735360).

55388080800 is an abundant number, since it is smaller than the sum of its proper divisors (179429389920).

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

55388080800 is a wasteful number, since it uses less digits than its factorization.

55388080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 55388080800 in words is "fifty-five billion, three hundred eighty-eight million, eighty thousand, eight hundred".