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505450870000 = 24544110311969
BaseRepresentation
bin1110101101011110011…
…10000011010011110000
31210022122201222121011121
413112233032003103300
531240130410320000
61024111222152024
751342354335536
oct7265716032360
91708581877147
10505450870000
111853a692583a
1281b62582614
133888251c33b
141a66d12c156
15d23444ab1a
hex75af3834f0

505450870000 has 200 divisors, whose sum is σ = 1265871166560. Its totient is φ = 195317760000.

The previous prime is 505450869997. The next prime is 505450870003. The reversal of 505450870000 is 78054505.

It is an interprime number because it is at equal distance from previous prime (505450869997) and next prime (505450870003).

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505450870003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42224016 + ... + 42235984.

Almost surely, 2505450870000 is an apocalyptic number.

505450870000 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 505450870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632935583280).

505450870000 is an abundant number, since it is smaller than the sum of its proper divisors (760420296560).

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

505450870000 is a wasteful number, since it uses less digits than its factorization.

505450870000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12141 (or 12120 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 34.

The spelling of 505450870000 in words is "five hundred five billion, four hundred fifty million, eight hundred seventy thousand".