Search a number
-
+
11016683328 = 2637229149271
BaseRepresentation
bin10100100001010010…
…10011111101000000
31001102202211111110110
422100221103331000
5140030232331303
65021101431320
7540001156200
oct122051237500
931382744413
1011016683328
1147436a3272
12217556b540
131067519241
147671b4400
15447287703
hex290a53f40

11016683328 has 336 divisors, whose sum is σ = 35442144000. Its totient is φ = 3007549440.

The previous prime is 11016683323. The next prime is 11016683329. The reversal of 11016683328 is 82338661011.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11016683323) 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, 40651833 + ... + 40652103.

Almost surely, 211016683328 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 11016683328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17721072000).

11016683328 is an abundant number, since it is smaller than the sum of its proper divisors (24425460672).

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

11016683328 is a wasteful number, since it uses less digits than its factorization.

11016683328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 11016683328 in words is "eleven billion, sixteen million, six hundred eighty-three thousand, three hundred twenty-eight".