Search a number
-
+
12389441920128 = 27377213176167
BaseRepresentation
bin1011010001001010010001…
…0010001101110010000000
31121212102022111202110000000
42310102210102031302000
53110442034112421003
642203344150000000
72416051630505400
oct264224422156200
947772274673000
1012389441920128
113a47372a76559
1214811a7046000
136bb41c831690
1430b91b868800
1516742796e1a3
hexb44a448dc80

12389441920128 has 3072 divisors, whose sum is σ = 50651233113600. Its totient is φ = 2979773153280.

The previous prime is 12389441920019. The next prime is 12389441920153. The reversal of 12389441920128 is 82102914498321.

12389441920128 is a `hidden beast` number, since 1 + 2 + 3 + 89 + 4 + 419 + 20 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 184917043551 + ... + 184917043617.

Almost surely, 212389441920128 is an apocalyptic number.

12389441920128 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 12389441920128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25325616556800).

12389441920128 is an abundant number, since it is smaller than the sum of its proper divisors (38261791193472).

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

12389441920128 is an equidigital number, since it uses as much as digits as its factorization.

12389441920128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 12389441920128 in words is "twelve trillion, three hundred eighty-nine billion, four hundred forty-one million, nine hundred twenty thousand, one hundred twenty-eight".