Search a number
-
+
12285341696 = 21273181227
BaseRepresentation
bin10110111000100001…
…10111000000000000
31011201012001000120102
423130100313000000
5200130021413241
65351021301532
7613304452505
oct133420670000
934635030512
1012285341696
115234834061
12246a4048a8
13120a2cc674
148478974ac
154bd83639b
hex2dc437000

12285341696 has 104 divisors (see below), whose sum is σ = 25152136464. Its totient is φ = 5998510080.

The previous prime is 12285341599. The next prime is 12285341707. The reversal of 12285341696 is 69614358221.

It is a self number, because there is not a number n which added to its sum of digits gives 12285341696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54120335 + ... + 54120561.

It is an arithmetic number, because the mean of its divisors is an integer number (241847466).

Almost surely, 212285341696 is an apocalyptic number.

12285341696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12285341696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12576068232).

12285341696 is an abundant number, since it is smaller than the sum of its proper divisors (12866794768).

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

12285341696 is an equidigital number, since it uses as much as digits as its factorization.

12285341696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 483 counting only the distinct ones).

The product of its digits is 622080, while the sum is 47.

The spelling of 12285341696 in words is "twelve billion, two hundred eighty-five million, three hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 73 128 146 181 227 256 292 362 454 512 584 724 908 1024 1168 1448 1816 2048 2336 2896 3632 4096 4672 5792 7264 9344 11584 13213 14528 16571 18688 23168 26426 29056 33142 37376 41087 46336 52852 58112 66284 74752 82174 92672 105704 116224 132568 149504 164348 185344 211408 232448 265136 299008 328696 370688 422816 464896 530272 657392 741376 845632 929792 1060544 1314784 1691264 2121088 2629568 2999351 3382528 4242176 5259136 5998702 6765056 8484352 10518272 11997404 13530112 16968704 21036544 23994808 27060224 33937408 42073088 47989616 54120448 67874816 84146176 95979232 168292352 191958464 383916928 767833856 1535667712 3071335424 6142670848 12285341696