Search a number
-
+
12343556680 = 23572133713093
BaseRepresentation
bin10110111111011101…
…11011101001001000
31011212020120122111221
423133232323221020
5200234422303210
65400501131424
7614612333500
oct133756735110
934766518457
1012343556680
115264685914
1224859b9b74
1312193a2cc0
148514cca00
154c39d51da
hex2dfbbba48

12343556680 has 192 divisors, whose sum is σ = 35735621040. Its totient is φ = 3800659968.

The previous prime is 12343556653. The next prime is 12343556689. The reversal of 12343556680 is 8665534321.

It can be written as a sum of positive squares in 8 ways, for example, as 8530000164 + 3813556516 = 92358^2 + 61754^2 .

It is not an unprimeable number, because it can be changed into a prime (12343556689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 936214 + ... + 949306.

Almost surely, 212343556680 is an apocalyptic number.

12343556680 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 12343556680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17867810520).

12343556680 is an abundant number, since it is smaller than the sum of its proper divisors (23392064360).

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

12343556680 is a wasteful number, since it uses less digits than its factorization.

12343556680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13168 (or 13157 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 12343556680 in words is "twelve billion, three hundred forty-three million, five hundred fifty-six thousand, six hundred eighty".