Search a number
-
+
11117234304 = 27321137131181
BaseRepresentation
bin10100101101010001…
…11000100010000000
31001200210001000110200
422112220320202000
5140232002444204
65035052525200
7542331634551
oct122650704200
931623030420
1011117234304
114795430750
1221a3180800
1310822c3767
147766aa328
15450eea539
hex296a38880

11117234304 has 384 divisors, whose sum is σ = 36315639360. Its totient is φ = 3234816000.

The previous prime is 11117234281. The next prime is 11117234309. The reversal of 11117234304 is 40343271111.

11117234304 is a `hidden beast` number, since 11 + 117 + 234 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (11117234309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61421094 + ... + 61421274.

Almost surely, 211117234304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11117234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18157819680).

11117234304 is an abundant number, since it is smaller than the sum of its proper divisors (25198405056).

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

11117234304 is a wasteful number, since it uses less digits than its factorization.

11117234304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 11117234304 in words is "eleven billion, one hundred seventeen million, two hundred thirty-four thousand, three hundred four".