Search a number
-
+
11155683000 = 2335372116899
BaseRepresentation
bin10100110001110111…
…00011011010111000
31001210110101102011110
422120323203122320
5140321323324000
65042545000320
7543306512100
oct123073433270
931713342143
1011155683000
114805101830
1221b40230a0
13108a266177
1477b838200
15454592850
hex298ee36b8

11155683000 has 384 divisors, whose sum is σ = 44175456000. Its totient is φ = 2317728000.

The previous prime is 11155682963. The next prime is 11155683001. The reversal of 11155683000 is 38655111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11155683001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1613551 + ... + 1620449.

It is an arithmetic number, because the mean of its divisors is an integer number (115040250).

Almost surely, 211155683000 is an apocalyptic number.

11155683000 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 11155683000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22087728000).

11155683000 is an abundant number, since it is smaller than the sum of its proper divisors (33019773000).

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

11155683000 is a wasteful number, since it uses less digits than its factorization.

11155683000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6948 (or 6927 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 11155683000 in words is "eleven billion, one hundred fifty-five million, six hundred eighty-three thousand".