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55210143296 = 26711217181331
BaseRepresentation
bin110011011010110001…
…111110111001000000
312021111200121212121002
4303122301332321000
51401032244041141
641210240551132
73663105321620
oct633261767100
9167450555532
1055210143296
1121461760900
12a8499224a8
13528b2c7759
14295a694880
151681eaae9b
hexcdac7ee40

55210143296 has 336 divisors, whose sum is σ = 146969536896. Its totient is φ = 20072448000.

The previous prime is 55210143293. The next prime is 55210143353. The reversal of 55210143296 is 69234101255.

It is not an unprimeable number, because it can be changed into a prime (55210143293) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 166797851 + ... + 166798181.

It is an arithmetic number, because the mean of its divisors is an integer number (437409336).

Almost surely, 255210143296 is an apocalyptic number.

55210143296 is a gapful number since it is divisible by the number (56) 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 55210143296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73484768448).

55210143296 is an abundant number, since it is smaller than the sum of its proper divisors (91759393600).

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

55210143296 is a wasteful number, since it uses less digits than its factorization.

55210143296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 55210143296 in words is "fifty-five billion, two hundred ten million, one hundred forty-three thousand, two hundred ninety-six".