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55435562208 = 253213173892239
BaseRepresentation
bin110011101000001101…
…111000110011100000
312022002101210100012200
4303220031320303200
51402013000442313
641244452253200
74001513334615
oct635015706340
9168071710180
1055435562208
1121567a25424
12a8b1311200
1352c5c11820
14297c5b250c
151696b86b73
hexce8378ce0

55435562208 has 288 divisors, whose sum is σ = 180300556800. Its totient is φ = 16005316608.

The previous prime is 55435562207. The next prime is 55435562263. The reversal of 55435562208 is 80226553455.

55435562208 is a `hidden beast` number, since 5 + 5 + 435 + 5 + 6 + 2 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55435562207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24757953 + ... + 24760191.

It is an arithmetic number, because the mean of its divisors is an integer number (626043600).

Almost surely, 255435562208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55435562208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90150278400).

55435562208 is an abundant number, since it is smaller than the sum of its proper divisors (124864994592).

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

55435562208 is a wasteful number, since it uses less digits than its factorization.

55435562208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 55435562208 in words is "fifty-five billion, four hundred thirty-five million, five hundred sixty-two thousand, two hundred eight".