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505050894000 = 243253194793083
BaseRepresentation
bin1110101100101110110…
…00010000111010110000
31210021121212100201020200
413112113120100322300
531233321012102000
61024003413235200
751326426524002
oct7262730207260
91707555321220
10505050894000
11185211076964
1281a70632b00
133881a6b8953
141a631d72372
15d20e28e500
hex7597610eb0

505050894000 has 480 divisors, whose sum is σ = 1861295155200. Its totient is φ = 127284134400.

The previous prime is 505050893999. The next prime is 505050894043. The reversal of 505050894000 is 498050505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 163816459 + ... + 163819541.

It is an arithmetic number, because the mean of its divisors is an integer number (3877698240).

Almost surely, 2505050894000 is an apocalyptic number.

505050894000 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 505050894000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930647577600).

505050894000 is an abundant number, since it is smaller than the sum of its proper divisors (1356244261200).

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

505050894000 is a wasteful number, since it uses less digits than its factorization.

505050894000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 505050894000 in words is "five hundred five billion, fifty million, eight hundred ninety-four thousand".