Search a number
-
+
12039488348160 = 2133574134373
BaseRepresentation
bin1010111100110010100101…
…1011010010000000000000
31120121222000122101000220210
42233030221123102000000
53034223333004120120
641334510430234120
72351552513310000
oct257145133220000
946558018330823
1012039488348160
113921a11338289
121425400355940
1369441b76a680
142d8a00240000
1515d294a3bce0
hexaf3296d2000

12039488348160 has 2240 divisors, whose sum is σ = 50203062822528. Its totient is φ = 2447137308672.

The previous prime is 12039488348113. The next prime is 12039488348161. The reversal of 12039488348160 is 6184388493021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a self number, because there is not a number n which added to its sum of digits gives 12039488348160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12039488348161) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 164924497884 + ... + 164924497956.

Almost surely, 212039488348160 is an apocalyptic number.

12039488348160 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 12039488348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25101531411264).

12039488348160 is an abundant number, since it is smaller than the sum of its proper divisors (38163574474368).

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

12039488348160 is an frugal number, since it uses more digits than its factorization.

12039488348160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 12039488348160 in words is "twelve trillion, thirty-nine billion, four hundred eighty-eight million, three hundred forty-eight thousand, one hundred sixty".