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12396626424 = 2333731361211
BaseRepresentation
bin10111000101110010…
…11000000111111000
31011222221102212112000
423202321120013320
5200342014021144
65410034421000
7616125405000
oct134271300770
934887385460
1012396626424
115291632a06
12249b731760
131227394710
14858585000
154c84b9769
hex2e2e581f8

12396626424 has 512 divisors, whose sum is σ = 44163840000. Its totient is φ = 3200601600.

The previous prime is 12396626401. The next prime is 12396626447. The reversal of 12396626424 is 42462669321.

12396626424 is a `hidden beast` number, since 12 + 3 + 9 + 6 + 626 + 4 + 2 + 4 = 666.

12396626424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12396626401) and next prime (12396626447).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12396626424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58751679 + ... + 58751889.

It is an arithmetic number, because the mean of its divisors is an integer number (86257500).

Almost surely, 212396626424 is an apocalyptic number.

12396626424 is a gapful number since it is divisible by the number (14) 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 12396626424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22081920000).

12396626424 is an abundant number, since it is smaller than the sum of its proper divisors (31767213576).

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

12396626424 is a wasteful number, since it uses less digits than its factorization.

12396626424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 297 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 12396626424 in words is "twelve billion, three hundred ninety-six million, six hundred twenty-six thousand, four hundred twenty-four".