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11034051840 = 283257293467
BaseRepresentation
bin10100100011010111…
…00100010100000000
31001110222111220120200
422101223210110000
5140044204124330
65022522005200
7540301615230
oct122153442400
931428456520
1011034051840
114752486509
12217b346800
13106acba976
14769615cc0
15448a68a60
hex291ae4500

11034051840 has 432 divisors, whose sum is σ = 43873135488. Its totient is φ = 2508079104.

The previous prime is 11034051823. The next prime is 11034051871. The reversal of 11034051840 is 4815043011.

It is a happy number.

11034051840 is a `hidden beast` number, since 1 + 103 + 4 + 0 + 518 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23627287 + ... + 23627753.

It is an arithmetic number, because the mean of its divisors is an integer number (101558184).

Almost surely, 211034051840 is an apocalyptic number.

11034051840 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 11034051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936567744).

11034051840 is an abundant number, since it is smaller than the sum of its proper divisors (32839083648).

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

11034051840 is a wasteful number, since it uses less digits than its factorization.

11034051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11034051840 its reverse (4815043011), we get a palindrome (15849094851).

The spelling of 11034051840 in words is "eleven billion, thirty-four million, fifty-one thousand, eight hundred forty".