Search a number
-
+
12334962640 = 2457113131967
BaseRepresentation
bin10110111110011100…
…01001011111010000
31011211122102000201011
423133032021133100
5200230222301030
65355553020304
7614446311130
oct133716113720
934748360634
1012334962640
11525a846000
122482b54694
131217684380
148502d2ac0
154c2d88b2a
hex2df3897d0

12334962640 has 640 divisors, whose sum is σ = 41477345280. Its totient is φ = 3311953920.

The previous prime is 12334962613. The next prime is 12334962641. The reversal of 12334962640 is 4626943321.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12334962593 and 12334962602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12334962641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 184103887 + ... + 184103953.

It is an arithmetic number, because the mean of its divisors is an integer number (64808352).

Almost surely, 212334962640 is an apocalyptic number.

12334962640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12334962640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20738672640).

12334962640 is an abundant number, since it is smaller than the sum of its proper divisors (29142382640).

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

12334962640 is a wasteful number, since it uses less digits than its factorization.

12334962640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 12334962640 in words is "twelve billion, three hundred thirty-four million, nine hundred sixty-two thousand, six hundred forty".