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12483294264 = 233472752049
BaseRepresentation
bin10111010000000111…
…11111010000111000
31012012222112001110000
423220003333100320
5201031210404024
65422412153000
7621230151630
oct135003772070
935188461400
1012483294264
115326548821
122504768760
13123c31aa6c
14865ca56c0
154d0dd8cc9
hex2e80ff438

12483294264 has 80 divisors (see below), whose sum is σ = 39959766000. Its totient is φ = 3566654208.

The previous prime is 12483294223. The next prime is 12483294287. The reversal of 12483294264 is 46249238421.

12483294264 is a `hidden beast` number, since 1 + 24 + 83 + 294 + 264 = 666.

12483294264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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 19 ways as a sum of consecutive naturals, for example, 1371489 + ... + 1380560.

It is an arithmetic number, because the mean of its divisors is an integer number (499497075).

Almost surely, 212483294264 is an apocalyptic number.

12483294264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12483294264 is an abundant number, since it is smaller than the sum of its proper divisors (27476471736).

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

12483294264 is a wasteful number, since it uses less digits than its factorization.

12483294264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752074 (or 2752061 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 12483294264 in words is "twelve billion, four hundred eighty-three million, two hundred ninety-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 2752049 5504098 8256147 11008196 16512294 19264343 22016392 24768441 33024588 38528686 49536882 57793029 66049176 74305323 77057372 99073764 115586058 148610646 154114744 173379087 198147528 222915969 231172116 297221292 346758174 445831938 462344232 520137261 594442584 693516348 891663876 1040274522 1387032696 1560411783 1783327752 2080549044 3120823566 4161098088 6241647132 12483294264