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968146812 = 2232591014513
BaseRepresentation
bin111001101101001…
…011111101111100
32111110201221202100
4321231023331330
53440321144222
6240022425100
732664053313
oct7155137574
92443657670
10968146812
11457548036
12230292190
13125766849
149281927a
1559edd4ac
hex39b4bf7c

968146812 has 72 divisors (see below), whose sum is σ = 2513936880. Its totient is φ = 314035200.

The previous prime is 968146811. The next prime is 968146831. The reversal of 968146812 is 218641869.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968146811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212268 + ... + 216780.

It is an arithmetic number, because the mean of its divisors is an integer number (34915790).

Almost surely, 2968146812 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 968146812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256968440).

968146812 is an abundant number, since it is smaller than the sum of its proper divisors (1545790068).

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

968146812 is a wasteful number, since it uses less digits than its factorization.

968146812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683 (or 4678 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 968146812 is about 31115.0576409558. The cubic root of 968146812 is about 989.2674961072.

The spelling of 968146812 in words is "nine hundred sixty-eight million, one hundred forty-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 101 118 177 202 236 303 354 404 531 606 708 909 1062 1212 1818 2124 3636 4513 5959 9026 11918 13539 17877 18052 23836 27078 35754 40617 53631 54156 71508 81234 107262 162468 214524 266267 455813 532534 798801 911626 1065068 1367439 1597602 1823252 2396403 2734878 3195204 4102317 4792806 5469756 8204634 9585612 16409268 26892967 53785934 80678901 107571868 161357802 242036703 322715604 484073406 968146812