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10634213214 = 2324122076529
BaseRepresentation
bin10011110011101100…
…10011011101011110
31000110010011000002200
421321312103131132
5133234324310324
64515120032330
7524345215032
oct117166233536
930403130080
1010634213214
114567810869
1220894626a6
131006204971
1472c4941c2
154238d7ec9
hex279d9375e

10634213214 has 48 divisors (see below), whose sum is σ = 23617077120. Its totient is φ = 3456184320.

The previous prime is 10634213197. The next prime is 10634213243. The reversal of 10634213214 is 41231243601.

It is a happy number.

10634213214 is a `hidden beast` number, since 1 + 0 + 634 + 2 + 1 + 3 + 21 + 4 = 666.

It is a super-3 number, since 3×106342132143 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1625502 + ... + 1632030.

It is an arithmetic number, because the mean of its divisors is an integer number (492022440).

Almost surely, 210634213214 is an apocalyptic number.

10634213214 is an abundant number, since it is smaller than the sum of its proper divisors (12982863906).

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

10634213214 is a wasteful number, since it uses less digits than its factorization.

10634213214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8785 (or 8782 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10634213214 its reverse (41231243601), we get a palindrome (51865456815).

The spelling of 10634213214 in words is "ten billion, six hundred thirty-four million, two hundred thirteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 2207 4414 6529 6621 13058 13242 19587 19863 39174 39726 58761 90487 117522 180974 267689 271461 535378 542922 803067 814383 1606134 1628766 2409201 4818402 14409503 28819006 43228509 86457018 129685527 259371054 590789623 1181579246 1772368869 3544737738 5317106607 10634213214