Search a number
-
+
12923968596 = 223711151211439
BaseRepresentation
bin11000000100101010…
…00001110001010100
31020100200201121222120
430002111001301110
5202432013443341
65534233255540
7635160630510
oct140225016124
936320647876
1012923968596
115532274990
1226082645b0
1312ac700ac6
148a8617140
15509934066
hex302541c54

12923968596 has 192 divisors, whose sum is σ = 38111969280. Its totient is φ = 3311280000.

The previous prime is 12923968567. The next prime is 12923968597. The reversal of 12923968596 is 69586932921.

It is a super-2 number, since 2×129239685962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12923968597) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29439345 + ... + 29439783.

It is an arithmetic number, because the mean of its divisors is an integer number (198499840).

Almost surely, 212923968596 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 12923968596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19055984640).

12923968596 is an abundant number, since it is smaller than the sum of its proper divisors (25188000684).

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

12923968596 is a wasteful number, since it uses less digits than its factorization.

12923968596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 824 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 60.

The spelling of 12923968596 in words is "twelve billion, nine hundred twenty-three million, nine hundred sixty-eight thousand, five hundred ninety-six".