Search a number
-
+
12180839616 = 26351126473
BaseRepresentation
bin10110101100000100…
…01101110011000000
31011102220101202200000
423112002031303000
5144421243331431
65332405400000
7610565266641
oct132602156300
934386352600
1012180839616
115190848100
12243b409000
1311c177090a
14837a536c8
154b45929e6
hex2d608dcc0

12180839616 has 252 divisors, whose sum is σ = 39804249576. Its totient is φ = 3690593280.

The previous prime is 12180839611. The next prime is 12180839651. The reversal of 12180839616 is 61693808121.

12180839616 is a `hidden beast` number, since 1 + 21 + 8 + 0 + 8 + 3 + 9 + 616 = 666.

It is not an unprimeable number, because it can be changed into a prime (12180839611) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1878556 + ... + 1885028.

Almost surely, 212180839616 is an apocalyptic number.

12180839616 is a gapful number since it is divisible by the number (16) 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 12180839616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19902124788).

12180839616 is an abundant number, since it is smaller than the sum of its proper divisors (27623409960).

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

12180839616 is an equidigital number, since it uses as much as digits as its factorization.

12180839616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6522 (or 6489 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 12180839616 in words is "twelve billion, one hundred eighty million, eight hundred thirty-nine thousand, six hundred sixteen".