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55287909600 = 25352711417297
BaseRepresentation
bin110011011111011010…
…101000110011100000
312021201002221210220120
4303133122220303200
51401212201101400
641222055440240
73665041322550
oct633732506340
9167632853816
1055287909600
11214a1646880
12a86b986080
1352a1455211
142966b39160
151688c1cca0
hexcdf6a8ce0

55287909600 has 576 divisors, whose sum is σ = 229872287232. Its totient is φ = 11206656000.

The previous prime is 55287909557. The next prime is 55287909727. The reversal of 55287909600 is 690978255.

It is a happy number.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 7573152 + ... + 7580448.

It is an arithmetic number, because the mean of its divisors is an integer number (399083832).

Almost surely, 255287909600 is an apocalyptic number.

55287909600 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 55287909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114936143616).

55287909600 is an abundant number, since it is smaller than the sum of its proper divisors (174584377632).

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

55287909600 is a wasteful number, since it uses less digits than its factorization.

55287909600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7379 (or 7366 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 55287909600 in words is "fifty-five billion, two hundred eighty-seven million, nine hundred nine thousand, six hundred".