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50198438304 = 25327172934999
BaseRepresentation
bin101110110000000011…
…110110000110100000
311210120102012212210200
4232300003312012200
51310301300011204
635021050425200
73424651454040
oct566003660640
9153512185720
1050198438304
111a31a789753
12988b432200
13496cbcb241
142602c27720
15148bee1539
hexbb00f61a0

50198438304 has 288 divisors, whose sum is σ = 173365920000. Its totient is φ = 13449977856.

The previous prime is 50198438293. The next prime is 50198438309. The reversal of 50198438304 is 40383489105.

50198438304 is a `hidden beast` number, since 501 + 9 + 84 + 38 + 30 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 50198438304.

It is not an unprimeable number, because it can be changed into a prime (50198438309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10039197 + ... + 10044195.

It is an arithmetic number, because the mean of its divisors is an integer number (601965000).

Almost surely, 250198438304 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 50198438304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86682960000).

50198438304 is an abundant number, since it is smaller than the sum of its proper divisors (123167481696).

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

50198438304 is a wasteful number, since it uses less digits than its factorization.

50198438304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 50198438304 in words is "fifty billion, one hundred ninety-eight million, four hundred thirty-eight thousand, three hundred four".