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55889400192 = 2731723131609
BaseRepresentation
bin110100000011010001…
…001001000110000000
312100021000202200212220
4310003101021012000
51403430141301232
641401503451040
74015664030463
oct640321110600
9170230680786
1055889400192
112178012263a
12a9b92b6a80
135368c53402
1429c298d2da
1516c193242c
hexd03449180

55889400192 has 192 divisors, whose sum is σ = 158304795600. Its totient is φ = 17467047936.

The previous prime is 55889400191. The next prime is 55889400211. The reversal of 55889400192 is 29100498855.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55889400191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34734684 + ... + 34736292.

Almost surely, 255889400192 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 55889400192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79152397800).

55889400192 is an abundant number, since it is smaller than the sum of its proper divisors (102415395408).

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

55889400192 is a wasteful number, since it uses less digits than its factorization.

55889400192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 51.

The spelling of 55889400192 in words is "fifty-five billion, eight hundred eighty-nine million, four hundred thousand, one hundred ninety-two".