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12085824436 = 2271934315189
BaseRepresentation
bin10110100000101111…
…10000101110110100
31011012021121111100021
423100113300232310
5144222432340221
65315133054524
7605332545520
oct132027605664
934167544307
1012085824436
115142150864
122413627444
1311a7b8400a
1482919cd80
154ab075041
hex2d05f0bb4

12085824436 has 48 divisors (see below), whose sum is σ = 24357957120. Its totient is φ = 5139855360.

The previous prime is 12085824431. The next prime is 12085824449. The reversal of 12085824436 is 63442858021.

It is a happy number.

12085824436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12085824392 and 12085824401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12085824431) by changing a digit.

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, 2326530 + ... + 2331718.

It is an arithmetic number, because the mean of its divisors is an integer number (507457440).

Almost surely, 212085824436 is an apocalyptic number.

It is an amenable number.

12085824436 is an abundant number, since it is smaller than the sum of its proper divisors (12272132684).

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

12085824436 is a wasteful number, since it uses less digits than its factorization.

12085824436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5824 (or 5822 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 12085824436 in words is "twelve billion, eighty-five million, eight hundred twenty-four thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 193 386 431 772 862 1351 1724 2702 3017 5189 5404 6034 10378 12068 20756 36323 72646 83183 145292 166366 332732 582281 1001477 1164562 2002954 2236459 2329124 4005908 4472918 7010339 8945836 14020678 15655213 28041356 31310426 62620852 431636587 863273174 1726546348 3021456109 6042912218 12085824436