Search a number
-
+
12390934608 = 24331331103691
BaseRepresentation
bin10111000101000111…
…01010100001010000
31011222112201200211000
423202203222201100
5200334034401413
65405312422000
7616026130533
oct134243524120
934875650730
1012390934608
1152893a5628
122499847900
131226150a90
14857902a1a
154c7c43073
hex2e28ea850

12390934608 has 320 divisors, whose sum is σ = 39979663360. Its totient is φ = 3648499200.

The previous prime is 12390934559. The next prime is 12390934609. The reversal of 12390934608 is 80643909321.

It is a happy number.

12390934608 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 0 + 9 + 34 + 608 = 666.

It is a super-2 number, since 2×123909346082 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12390934609) 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, 17931543 + ... + 17932233.

It is an arithmetic number, because the mean of its divisors is an integer number (124936448).

Almost surely, 212390934608 is an apocalyptic number.

12390934608 is a gapful number since it is divisible by the number (18) 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 12390934608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19989831680).

12390934608 is an abundant number, since it is smaller than the sum of its proper divisors (27588728752).

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

12390934608 is a wasteful number, since it uses less digits than its factorization.

12390934608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 12390934608 in words is "twelve billion, three hundred ninety million, nine hundred thirty-four thousand, six hundred eight".