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10263214208 = 271314834159
BaseRepresentation
bin10011000111011110…
…00011100010000000
3222111021001022010202
421203233003202000
5132004340323313
64414224144332
7512221611212
oct114357034200
928437038122
1010263214208
114397353815
121ba51680a8
13c773a8720
146d50bc5b2
15401052558
hex263bc3880

10263214208 has 64 divisors (see below), whose sum is σ = 22039180800. Its totient is φ = 4732535808.

The previous prime is 10263214207. The next prime is 10263214217. The reversal of 10263214208 is 80241236201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (10263214207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2465633 + ... + 2469791.

It is an arithmetic number, because the mean of its divisors is an integer number (344362200).

Almost surely, 210263214208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10263214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11019590400).

10263214208 is an abundant number, since it is smaller than the sum of its proper divisors (11775966592).

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

10263214208 is a wasteful number, since it uses less digits than its factorization.

10263214208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5669 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 10263214208 in words is "ten billion, two hundred sixty-three million, two hundred fourteen thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1483 1664 2966 4159 5932 8318 11864 16636 19279 23728 33272 38558 47456 54067 66544 77116 94912 108134 133088 154232 189824 216268 266176 308464 432536 532352 616928 865072 1233856 1730144 2467712 3460288 6167797 6920576 12335594 24671188 49342376 80181361 98684752 160362722 197369504 320725444 394739008 641450888 789478016 1282901776 2565803552 5131607104 10263214208