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12106452366 = 23241102116067
BaseRepresentation
bin10110100011001100…
…11100110110001110
31011020201102111112200
423101212130312032
5144243222433431
65321151142330
7606003101331
oct132146346616
934221374480
1012106452366
11515285a938
12241a5149a6
1311ac2271a8
1482bc0c618
154acc9bee6
hex2d199cd8e

12106452366 has 48 divisors (see below), whose sum is σ = 26898410448. Its totient is φ = 3932956800.

The previous prime is 12106452361. The next prime is 12106452389. The reversal of 12106452366 is 66325460121.

12106452366 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 645 + 2 + 3 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12106452366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12106452361) 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, 745465 + ... + 761531.

It is an arithmetic number, because the mean of its divisors is an integer number (560383551).

Almost surely, 212106452366 is an apocalyptic number.

12106452366 is an abundant number, since it is smaller than the sum of its proper divisors (14791958082).

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

12106452366 is a wasteful number, since it uses less digits than its factorization.

12106452366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17137 (or 17134 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 12106452366 in words is "twelve billion, one hundred six million, four hundred fifty-two thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 1021 2042 3063 6126 9189 16067 18378 32134 41861 48201 83722 96402 125583 144603 251166 289206 376749 658747 753498 1317494 1976241 3952482 5928723 11857446 16404407 32808814 49213221 98426442 147639663 295279326 672580687 1345161374 2017742061 4035484122 6053226183 12106452366