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12848435424 = 2532114798467
BaseRepresentation
bin10111111011101001…
…11001000011100000
31020011102121010221200
423331310321003200
5202303144413144
65522534321200
7633252620256
oct137564710340
936142533850
1012848435424
1154a3674780
1225a6ab9200
131299b75916
1489c5945d6
15502eb3c69
hex2fdd390e0

12848435424 has 144 divisors (see below), whose sum is σ = 39947281920. Its totient is φ = 3884878080.

The previous prime is 12848435387. The next prime is 12848435447. The reversal of 12848435424 is 42453484821.

12848435424 is a `hidden beast` number, since 1 + 28 + 4 + 84 + 3 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 12848435424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1513239 + ... + 1521705.

It is an arithmetic number, because the mean of its divisors is an integer number (277411680).

Almost surely, 212848435424 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 12848435424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19973640960).

12848435424 is an abundant number, since it is smaller than the sum of its proper divisors (27098846496).

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

12848435424 is a wasteful number, since it uses less digits than its factorization.

12848435424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8973 (or 8962 counting only the distinct ones).

The product of its digits is 983040, while the sum is 45.

The spelling of 12848435424 in words is "twelve billion, eight hundred forty-eight million, four hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 479 528 792 958 1056 1437 1584 1916 2874 3168 3832 4311 5269 5748 7664 8467 8622 10538 11496 15328 15807 16934 17244 21076 22992 25401 31614 33868 34488 42152 45984 47421 50802 63228 67736 68976 76203 84304 93137 94842 101604 126456 135472 137952 152406 168608 186274 189684 203208 252912 270944 279411 304812 372548 379368 406416 505824 558822 609624 745096 758736 812832 838233 1117644 1219248 1490192 1517472 1676466 2235288 2438496 2980384 3352932 4055693 4470576 6705864 8111386 8941152 12167079 13411728 16222772 24334158 26823456 32445544 36501237 44612623 48668316 64891088 73002474 89225246 97336632 129782176 133837869 146004948 178450492 194673264 267675738 292009896 356900984 389346528 401513607 535351476 584019792 713801968 803027214 1070702952 1168039584 1427603936 1606054428 2141405904 3212108856 4282811808 6424217712 12848435424