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12295827414 = 23213311695041
BaseRepresentation
bin10110111001110001…
…10110111111010110
31011201220202202021100
423130320312333112
5200140212434124
65352034130530
7613462544223
oct133470667726
934656682240
1012295827414
11523a746142
122471a20a46
13120c531330
1484902694a
154be7081c9
hex2dce36fd6

12295827414 has 48 divisors (see below), whose sum is σ = 29615773824. Its totient is φ = 3661286400.

The previous prime is 12295827407. The next prime is 12295827419. The reversal of 12295827414 is 41472859221.

12295827414 is a `hidden beast` number, since 1 + 2 + 29 + 582 + 7 + 41 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12295827414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12295827419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840267 + ... + 854774.

It is an arithmetic number, because the mean of its divisors is an integer number (616995288).

Almost surely, 212295827414 is an apocalyptic number.

12295827414 is an abundant number, since it is smaller than the sum of its proper divisors (17319946410).

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

12295827414 is a wasteful number, since it uses less digits than its factorization.

12295827414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695093 (or 1695090 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 12295827414 in words is "twelve billion, two hundred ninety-five million, eight hundred twenty-seven thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 2418 3627 7254 1695041 3390082 5085123 10170246 15255369 22035533 30510738 44071066 52546271 66106599 105092542 132213198 157638813 198319797 315277626 396639594 472916439 683101523 945832878 1366203046 2049304569 4098609138 6147913707 12295827414