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11055045540 = 22357117332779
BaseRepresentation
bin10100100101110111…
…01001101110100100
31001112110000111112010
422102323221232210
5140120042424130
65024551554220
7540645223320
oct122273515644
931473014463
1011055045540
114763315380
12218638b970
13107245b486
1476c31c980
1544a8140b0
hex292ee9ba4

11055045540 has 192 divisors, whose sum is σ = 39122012160. Its totient is φ = 2265615360.

The previous prime is 11055045511. The next prime is 11055045541. The reversal of 11055045540 is 4554055011.

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

It is a junction number, because it is equal to n+sod(n) for n = 11055045498 and 11055045507.

It is not an unprimeable number, because it can be changed into a prime (11055045541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 320871 + ... + 353649.

It is an arithmetic number, because the mean of its divisors is an integer number (203760480).

Almost surely, 211055045540 is an apocalyptic number.

11055045540 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 11055045540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19561006080).

11055045540 is an abundant number, since it is smaller than the sum of its proper divisors (28066966620).

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

11055045540 is a wasteful number, since it uses less digits than its factorization.

11055045540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32882 (or 32880 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 11055045540 in words is "eleven billion, fifty-five million, forty-five thousand, five hundred forty".