Search a number
-
+
11543023800 = 233352711172371
BaseRepresentation
bin10101100000000010…
…01001000010111000
31002210110020100212000
422300001021002320
5142120003230200
65145223021000
7556022040420
oct126001110270
932713210760
1011543023800
1149938106a0
1222a189a760
13111c5946c9
147b7065480
154785a5300
hex2b00490b8

11543023800 has 1536 divisors, whose sum is σ = 55539302400. Its totient is φ = 2128896000.

The previous prime is 11543023799. The next prime is 11543023841. The reversal of 11543023800 is 832034511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 162577765 + ... + 162577835.

It is an arithmetic number, because the mean of its divisors is an integer number (36158400).

Almost surely, 211543023800 is an apocalyptic number.

11543023800 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 11543023800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27769651200).

11543023800 is an abundant number, since it is smaller than the sum of its proper divisors (43996278600).

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

11543023800 is a wasteful number, since it uses less digits than its factorization.

11543023800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 11543023800 in words is "eleven billion, five hundred forty-three million, twenty-three thousand, eight hundred".