Search a number
-
+
506322362142 = 232293728439221
BaseRepresentation
bin1110101111000110010…
…10100001111100011110
31210101220110211222122100
413113203022201330132
531243422011042032
61024333513225530
751403066032132
oct7274312417436
91711813758570
10506322362142
11185803856783
12821664022a6
1338990c43c6c
141a712b873c2
15d285be597c
hex75e32a1f1e

506322362142 has 96 divisors (see below), whose sum is σ = 1166068781280. Its totient is φ = 158477195520.

The previous prime is 506322362111. The next prime is 506322362159. The reversal of 506322362142 is 241263223605.

506322362142 is a `hidden beast` number, since 5 + 0 + 6 + 3 + 2 + 23 + 621 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 506322362097 and 506322362106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54905092 + ... + 54914312.

It is an arithmetic number, because the mean of its divisors is an integer number (12146549805).

Almost surely, 2506322362142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506322362142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583034390640).

506322362142 is an abundant number, since it is smaller than the sum of its proper divisors (659746419138).

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

506322362142 is a wasteful number, since it uses less digits than its factorization.

506322362142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12138 (or 12135 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 506322362142 its reverse (241263223605), we get a palindrome (747585585747).

The spelling of 506322362142 in words is "five hundred six billion, three hundred twenty-two million, three hundred sixty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 111 174 222 261 333 522 666 1073 2146 2843 3219 5686 6438 8529 9221 9657 17058 18442 19314 25587 27663 51174 55326 82447 82989 105191 164894 165978 210382 247341 267409 315573 341177 494682 534818 631146 682354 742023 802227 946719 1023531 1484046 1604454 1893438 2047062 2406681 3050539 3070593 4813362 6101078 6141186 9151617 9894133 18303234 19788266 26215303 27454851 29682399 52430606 54909702 59364798 78645909 89047197 157291818 178094394 235937727 471875454 760243787 969966211 1520487574 1939932422 2280731361 2909898633 4561462722 5819797266 6842194083 8729695899 13684388166 17459391798 28129020119 56258040238 84387060357 168774120714 253161181071 506322362142