Search a number
-
+
82424430475842 = 2371323241263103553
BaseRepresentation
bin10010101111011011101110…
…111001100011101001000010
3101210211200212021112000010110
4102233123232321203221002
541300420213200211332
6451145132143412150
723234653140131460
oct2257335671435102
9353750767460113
1082424430475842
1124299006226424
1292b24a6bb4056
1336cb78a282c90
14164d51409b830
1597e0aded44cc
hex4af6eee63a42

82424430475842 has 256 divisors, whose sum is σ = 213401114099712. Its totient is φ = 20627956039680.

The previous prime is 82424430475841. The next prime is 82424430475897. The reversal of 82424430475842 is 24857403442428.

It is a super-2 number, since 2×824244304758422 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82424430475841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 795911938 + ... + 796015490.

It is an arithmetic number, because the mean of its divisors is an integer number (833598101952).

Almost surely, 282424430475842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82424430475842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106700557049856).

82424430475842 is an abundant number, since it is smaller than the sum of its proper divisors (130976683623870).

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

82424430475842 is a wasteful number, since it uses less digits than its factorization.

82424430475842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104105.

The product of its (nonzero) digits is 55050240, while the sum is 57.

The spelling of 82424430475842 in words is "eighty-two trillion, four hundred twenty-four billion, four hundred thirty million, four hundred seventy-five thousand, eight hundred forty-two".