Search a number
-
+
119986889518080 = 21034513192834139
BaseRepresentation
bin11011010010000010011111…
…111011010110110000000000
3120201211122010122002112210000
4123102002133323112300000
5111211331122204034310
61103105114401440000
734162523656006614
oct3322023773266000
9521748118075700
10119986889518080
1135260177099092
121155a31a640000
1351c493b1b4470
14218b579b85344
15dd120367d4c0
hex6d209fed6c00

119986889518080 has 1760 divisors, whose sum is σ = 489250384761600. Its totient is φ = 27875140042752.

The previous prime is 119986889518073. The next prime is 119986889518103. The reversal of 119986889518080 is 80815988689911.

119986889518080 is a `hidden beast` number, since 1 + 1 + 9 + 98 + 6 + 8 + 8 + 9 + 518 + 0 + 8 + 0 = 666.

119986889518080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28989340651 + ... + 28989344789.

It is an arithmetic number, because the mean of its divisors is an integer number (277983173160).

Almost surely, 2119986889518080 is an apocalyptic number.

119986889518080 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 119986889518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244625192380800).

119986889518080 is an abundant number, since it is smaller than the sum of its proper divisors (369263495243520).

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

119986889518080 is a wasteful number, since it uses less digits than its factorization.

119986889518080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4491 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 81.

The spelling of 119986889518080 in words is "one hundred nineteen trillion, nine hundred eighty-six billion, eight hundred eighty-nine million, five hundred eighteen thousand, eighty".