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12164119156 = 2274322744507
BaseRepresentation
bin10110101010000100…
…11011101001110100
31011101201221021111201
423111002123221310
5144403003303111
65331011142244
7610303210150
oct132502335164
934351837451
1012164119156
115182367842
1224358a4984
1311bb168157
14835740060
154b2d8d6c1
hex2d509ba74

12164119156 has 48 divisors (see below), whose sum is σ = 25004238336. Its totient is φ = 5069411424.

The previous prime is 12164119127. The next prime is 12164119169. The reversal of 12164119156 is 65191146121.

It is a happy number.

12164119156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251055 + ... + 295561.

It is an arithmetic number, because the mean of its divisors is an integer number (520921632).

Almost surely, 212164119156 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 12164119156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12502119168).

12164119156 is an abundant number, since it is smaller than the sum of its proper divisors (12840119180).

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

12164119156 is a wasteful number, since it uses less digits than its factorization.

12164119156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44788 (or 44786 counting only the distinct ones).

The product of its digits is 12960, while the sum is 37.

The spelling of 12164119156 in words is "twelve billion, one hundred sixty-four million, one hundred nineteen thousand, one hundred fifty-six".

Divisors: 1 2 4 7 14 28 43 86 172 227 301 454 602 908 1204 1589 3178 6356 9761 19522 39044 44507 68327 89014 136654 178028 273308 311549 623098 1246196 1913801 3827602 7655204 10103089 13396607 20206178 26793214 40412356 53586428 70721623 141443246 282886492 434432827 868865654 1737731308 3041029789 6082059578 12164119156