Search a number
-
+
11839610880 = 21332532117
BaseRepresentation
bin10110000011011001…
…00010000000000000
31010120010022112211200
423001230202000000
5143221420022010
65234455541200
7566253013656
oct130154420000
933503275750
1011839610880
115026173989
12236508a800
131168b68c16
148045cadd6
1549463ccc0
hex2c1b22000

11839610880 has 168 divisors, whose sum is σ = 41042757132. Its totient is φ = 3157131264.

The previous prime is 11839610851. The next prime is 11839610903. The reversal of 11839610880 is 8801693811.

It can be written as a sum of positive squares in 2 ways, for example, as 10006401024 + 1833209856 = 100032^2 + 42816^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352582 + ... + 384698.

Almost surely, 211839610880 is an apocalyptic number.

11839610880 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 11839610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20521378566).

11839610880 is an abundant number, since it is smaller than the sum of its proper divisors (29203146252).

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

11839610880 is an equidigital number, since it uses as much as digits as its factorization.

11839610880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32154 (or 32127 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 11839610880 in words is "eleven billion, eight hundred thirty-nine million, six hundred ten thousand, eight hundred eighty".