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500054940000 = 253254711109331
BaseRepresentation
bin1110100011011011001…
…10001101100101100000
31202210201200120221202100
413101231212031211200
531143103031040000
61021415544450400
751061553600310
oct7215546154540
91683650527670
10500054940000
11183087a82760
1280ab7479a00
1338202645855
141a2ba645440
15d01a886a00
hex746d98d960

500054940000 has 1440 divisors, whose sum is σ = 2242523162880. Its totient is φ = 102643200000.

The previous prime is 500054939977. The next prime is 500054940019. The reversal of 500054940000 is 49450005.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 1510739835 + ... + 1510740165.

It is an arithmetic number, because the mean of its divisors is an integer number (1557307752).

Almost surely, 2500054940000 is an apocalyptic number.

500054940000 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 500054940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121261581440).

500054940000 is an abundant number, since it is smaller than the sum of its proper divisors (1742468222880).

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

500054940000 is a wasteful number, since it uses less digits than its factorization.

500054940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 500054940000 in words is "five hundred billion, fifty-four million, nine hundred forty thousand".