Search a number
-
+
500477006112 = 253311793592617
BaseRepresentation
bin1110100100001101100…
…00010001000100100000
31202211211002210010121120
413102012300101010200
531144434103143422
61021525503052240
751105200234616
oct7220660210440
91684732703546
10500477006112
1118328424a226
1280bb48a1080
133826bc11b05
141a31a7116b6
15d04295845c
hex7486c11120

500477006112 has 192 divisors, whose sum is σ = 1368028569600. Its totient is φ = 160033904640.

The previous prime is 500477006059. The next prime is 500477006119. The reversal of 500477006112 is 211600774005.

It is not an unprimeable number, because it can be changed into a prime (500477006119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191239428 + ... + 191242044.

It is an arithmetic number, because the mean of its divisors is an integer number (7125148800).

Almost surely, 2500477006112 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 500477006112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684014284800).

500477006112 is an abundant number, since it is smaller than the sum of its proper divisors (867551563488).

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

500477006112 is a wasteful number, since it uses less digits than its factorization.

500477006112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 500477006112 in words is "five hundred billion, four hundred seventy-seven million, six thousand, one hundred twelve".