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506232131020 = 2257211229147211
BaseRepresentation
bin1110101110111011100…
…10010100110111001100
31210101200012001202210221
413113131302110313030
531243230411143040
61024320531241124
751400622054500
oct7273562246714
91711605052727
10506232131020
11185767927800
12821401491a4
1338978340a75
141a704bba300
15d27cd2074a
hex75ddc94dcc

506232131020 has 216 divisors, whose sum is σ = 1406177856720. Its totient is φ = 152344684800.

The previous prime is 506232130967. The next prime is 506232131029. The reversal of 506232131020 is 20131232605.

It is not an unprimeable number, because it can be changed into a prime (506232131029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3365215 + ... + 3512425.

It is an arithmetic number, because the mean of its divisors is an integer number (6510082670).

Almost surely, 2506232131020 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 506232131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703088928360).

506232131020 is an abundant number, since it is smaller than the sum of its proper divisors (899945725700).

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

506232131020 is a wasteful number, since it uses less digits than its factorization.

506232131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147285 (or 147265 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 506232131020 its reverse (20131232605), we get a palindrome (526363363625).

The spelling of 506232131020 in words is "five hundred six billion, two hundred thirty-two million, one hundred thirty-one thousand, twenty".