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10011060054 = 23538353783
BaseRepresentation
bin10010101001011010…
…01010011101010110
3221211200120112200000
421110231022131112
5131000312410204
64333215432130
7503040415002
oct112455123526
927750515600
1010011060054
114277a89656
121b34825646
13c37090698
146ad801702
153d8d45039
hex254b4a756

10011060054 has 48 divisors (see below), whose sum is σ = 22553137152. Its totient is φ = 3328245288.

The previous prime is 10011060053. The next prime is 10011060089. The reversal of 10011060054 is 45006011001.

10011060054 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 10 + 600 + 54 = 666.

10011060054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011060053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159247 + ... + 213029.

It is an arithmetic number, because the mean of its divisors is an integer number (469857024).

Almost surely, 210011060054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011060054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11276568576).

10011060054 is an abundant number, since it is smaller than the sum of its proper divisors (12542077098).

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

10011060054 is an equidigital number, since it uses as much as digits as its factorization.

10011060054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54183 (or 54171 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10011060054 its reverse (45006011001), we get a palindrome (55017071055).

The spelling of 10011060054 in words is "ten billion, eleven million, sixty thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 383 486 766 1149 2298 3447 6894 10341 20682 31023 53783 62046 93069 107566 161349 186138 322698 484047 968094 1452141 2904282 4356423 8712846 13069269 20598889 26138538 41197778 61796667 123593334 185390001 370780002 556170003 1112340006 1668510009 3337020018 5005530027 10011060054