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12356322432 = 2731713114449
BaseRepresentation
bin10111000000111111…
…01000010010000000
31011220010121012211120
423200133220102000
5200301204304212
65402034512240
7615126002436
oct134037502200
934803535746
1012356322432
115270904a23
12248a135680
13121bc226bc
14853092d56
154c4ba788c
hex2e07e8480

12356322432 has 128 divisors (see below), whose sum is σ = 35019864000. Its totient is φ = 3846635520.

The previous prime is 12356322431. The next prime is 12356322439. The reversal of 12356322432 is 23422365321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 12356322393 and 12356322402.

It is not an unprimeable number, because it can be changed into a prime (12356322431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847944 + ... + 862392.

Almost surely, 212356322432 is an apocalyptic number.

12356322432 is a gapful number since it is divisible by the number (12) 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 12356322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17509932000).

12356322432 is an abundant number, since it is smaller than the sum of its proper divisors (22663541568).

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

12356322432 is a wasteful number, since it uses less digits than its factorization.

12356322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14614 (or 14602 counting only the distinct ones).

The product of its digits is 51840, while the sum is 33.

Adding to 12356322432 its reverse (23422365321), we get a palindrome (35778687753).

The spelling of 12356322432 in words is "twelve billion, three hundred fifty-six million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 131 136 192 204 262 272 384 393 408 524 544 786 816 1048 1088 1572 1632 2096 2176 2227 3144 3264 4192 4454 6288 6528 6681 8384 8908 12576 13362 14449 16768 17816 25152 26724 28898 35632 43347 50304 53448 57796 71264 86694 106896 115592 142528 173388 213792 231184 245633 285056 346776 427584 462368 491266 693552 736899 855168 924736 982532 1387104 1473798 1849472 1892819 1965064 2774208 2947596 3785638 3930128 5548416 5678457 5895192 7571276 7860256 11356914 11790384 15142552 15720512 22713828 23580768 30285104 31441024 32177923 45427656 47161536 60570208 64355846 90855312 94323072 96533769 121140416 128711692 181710624 193067538 242280832 257423384 363421248 386135076 514846768 726842496 772270152 1029693536 1544540304 2059387072 3089080608 4118774144 6178161216 12356322432