Search a number
-
+
11779066880 = 210572291619
BaseRepresentation
bin10101111100001011…
…00100110000000000
31010101220101121002022
422332011210300000
5143110420120010
65224454141012
7564616262600
oct127605446000
933356347068
1011779066880
114aa4a81319
122348951768
13115945b479
147da54ac00
1548e17dd55
hex2be164c00

11779066880 has 264 divisors, whose sum is σ = 34023596400. Its totient is φ = 3896868864.

The previous prime is 11779066867. The next prime is 11779066907. The reversal of 11779066880 is 8866097711.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7274711 + ... + 7276329.

Almost surely, 211779066880 is an apocalyptic number.

11779066880 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 11779066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17011798200).

11779066880 is an abundant number, since it is smaller than the sum of its proper divisors (22244529520).

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

11779066880 is a wasteful number, since it uses less digits than its factorization.

11779066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 53.

The spelling of 11779066880 in words is "eleven billion, seven hundred seventy-nine million, sixty-six thousand, eight hundred eighty".