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500505005000 = 23547112139091
BaseRepresentation
bin1110100100010000110…
…11000100101111001000
31202211220001110121212102
413102020123010233020
531200013240130000
61021532343132532
751105660230210
oct7221033045710
91684801417772
10500505005000
11183299033200
1281002144148
1338274965cc0
141a32031d240
15d0451393d5
hex74886c4bc8

500505005000 has 480 divisors, whose sum is σ = 1586614370880. Its totient is φ = 143985600000.

The previous prime is 500505004981. The next prime is 500505005009. The reversal of 500505005000 is 500505005.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (500505005009) 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 119 ways as a sum of consecutive naturals, for example, 55050455 + ... + 55059545.

It is an arithmetic number, because the mean of its divisors is an integer number (3305446606).

Almost surely, 2500505005000 is an apocalyptic number.

500505005000 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 500505005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793307185440).

500505005000 is an abundant number, since it is smaller than the sum of its proper divisors (1086109365880).

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

500505005000 is a wasteful number, since it uses less digits than its factorization.

500505005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9159 (or 9129 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 20.

500505005000 divided by its product of nonzero digits (625) gives a palindrome (800808008).

500505005000 divided by its reverse (500505005) gives a cube (1000 = 103).

It can be divided in two parts, 50050 and 5005000, that multiplied together give a square (250500250000 = 5005002).

The spelling of 500505005000 in words is "five hundred billion, five hundred five million, five thousand".