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12541194336 = 2531131383101
BaseRepresentation
bin10111010111000001…
…10111000001100000
31012101000110200102010
423223200313001200
5201141021204321
65432241152520
7622532251536
oct135340670140
935330420363
1012541194336
1153561a4a20
12252002b740
13124b310c68
1486d858156
154d6024676
hex2eb837060

12541194336 has 96 divisors (see below), whose sum is σ = 37072014336. Its totient is φ = 3677760000.

The previous prime is 12541194329. The next prime is 12541194371. The reversal of 12541194336 is 63349114521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12541194294 and 12541194303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158815 + ... + 224286.

It is an arithmetic number, because the mean of its divisors is an integer number (386166816).

Almost surely, 212541194336 is an apocalyptic number.

12541194336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12541194336 is an abundant number, since it is smaller than the sum of its proper divisors (24530820000).

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

12541194336 is a wasteful number, since it uses less digits than its factorization.

12541194336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383156 (or 383148 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The spelling of 12541194336 in words is "twelve billion, five hundred forty-one million, one hundred ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1364 1488 2046 2728 2976 4092 5456 8184 10912 16368 32736 383101 766202 1149303 1532404 2298606 3064808 4214111 4597212 6129616 8428222 9194424 11876131 12259232 12642333 16856444 18388848 23752262 25284666 33712888 35628393 36777696 47504524 50569332 67425776 71256786 95009048 101138664 130637441 134851552 142513572 190018096 202277328 261274882 285027144 380036192 391912323 404554656 522549764 570054288 783824646 1045099528 1140108576 1567649292 2090199056 3135298584 4180398112 6270597168 12541194336