Search a number
-
+
11890188288 = 2133611181
BaseRepresentation
bin10110001001011010…
…11110000000000000
31010200122111011000000
423010231132000000
5143322342011123
65243504000000
7600435634656
oct130455360000
933618434000
1011890188288
1150517794a0
12237a000000
131176497094
1480b1d4dd6
15498ccdb43
hex2c4b5e000

11890188288 has 392 divisors, whose sum is σ = 39108055896. Its totient is φ = 3583180800.

The previous prime is 11890188281. The next prime is 11890188293. The reversal of 11890188288 is 88288109811.

11890188288 is a `hidden beast` number, since 1 + 189 + 0 + 188 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11890188281) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 65691558 + ... + 65691738.

Almost surely, 211890188288 is an apocalyptic number.

11890188288 is a gapful number since it is divisible by the number (18) 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 11890188288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19554027948).

11890188288 is an abundant number, since it is smaller than the sum of its proper divisors (27217867608).

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

11890188288 is an frugal number, since it uses more digits than its factorization.

11890188288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 54.

The spelling of 11890188288 in words is "eleven billion, eight hundred ninety million, one hundred eighty-eight thousand, two hundred eighty-eight".