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10466722249 = 26323892
BaseRepresentation
bin10011011111101110…
…11000000111001001
31000000102222120200121
421233313120013021
5132413440102444
64450334103241
7520242446134
oct115767300711
930012876617
1010466722249
114491212385
12204134ab21
13caa5c0699
1471413521b
15413d51084
hex26fdd81c9

10466722249 has 9 divisors (see below), whose sum is σ = 10533749863. Its totient is φ = 10400120392.

The previous prime is 10466722247. The next prime is 10466722283. The reversal of 10466722249 is 94222766401.

The square root of 10466722249 is 102307.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2470785849 + 7995936400 = 49707^2 + 89420^2 .

It is not a de Polignac number, because 10466722249 - 21 = 10466722247 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10466722247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26906547 + ... + 26906935.

Almost surely, 210466722249 is an apocalyptic number.

10466722249 is the 102307-th square number.

10466722249 is the 51154-th centered octagonal number.

It is an amenable number.

10466722249 is a deficient number, since it is larger than the sum of its proper divisors (67027614).

10466722249 is an frugal number, since it uses more digits than its factorization.

10466722249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 10466722249 in words is "ten billion, four hundred sixty-six million, seven hundred twenty-two thousand, two hundred forty-nine".

Divisors: 1 263 389 69169 102307 151321 26906741 39797423 10466722249