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10563144228 = 22347213231127
BaseRepresentation
bin10011101011001110…
…01100101000100100
31000021011102022210000
421311213030220210
5133113131103403
64504100501300
7522523146600
oct116547145044
930234368700
1010563144228
11453068a66a
1220696aa830
13cc4580700
14722c74500
1541c54a7a3
hex2759cca24

10563144228 has 540 divisors, whose sum is σ = 36188393472. Its totient is φ = 2674788480.

The previous prime is 10563144227. The next prime is 10563144233. The reversal of 10563144228 is 82244136501.

It is a happy number.

10563144228 is a `hidden beast` number, since 10 + 5 + 631 + 4 + 4 + 2 + 2 + 8 = 666.

It is a super-2 number, since 2×105631442282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10563144192 and 10563144201.

It is not an unprimeable number, because it can be changed into a prime (10563144227) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 83174301 + ... + 83174427.

Almost surely, 210563144228 is an apocalyptic number.

10563144228 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 10563144228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18094196736).

10563144228 is an abundant number, since it is smaller than the sum of its proper divisors (25625249244).

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

10563144228 is a wasteful number, since it uses less digits than its factorization.

10563144228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10563144228 in words is "ten billion, five hundred sixty-three million, one hundred forty-four thousand, two hundred twenty-eight".