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12984656048 = 2471341443491
BaseRepresentation
bin11000001011111001…
…00010000010110000
31020111220220212111222
430011330202002300
5203043032443143
65544242124212
7636525520040
oct140574420260
936456825458
1012984656048
115563555301
122624650668
1312bc15b940
148b26d3720
1550ee20768
hex305f220b0

12984656048 has 160 divisors (see below), whose sum is σ = 31854961152. Its totient is φ = 4990003200.

The previous prime is 12984656029. The next prime is 12984656053. The reversal of 12984656048 is 84065648921.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 26445083 + ... + 26445573.

Almost surely, 212984656048 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 12984656048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15927480576).

12984656048 is an abundant number, since it is smaller than the sum of its proper divisors (18870305104).

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

12984656048 is a wasteful number, since it uses less digits than its factorization.

12984656048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 53.

The spelling of 12984656048 in words is "twelve billion, nine hundred eighty-four million, six hundred fifty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 41 52 56 82 91 104 112 164 182 208 287 328 364 443 491 533 574 656 728 886 982 1066 1148 1456 1772 1964 2132 2296 3101 3437 3544 3731 3928 4264 4592 5759 6202 6383 6874 7088 7462 7856 8528 11518 12404 12766 13748 14924 18163 20131 23036 24808 25532 27496 29848 36326 40262 40313 44681 46072 49616 51064 54992 59696 72652 80524 80626 89362 92144 102128 127141 140917 145304 161048 161252 178724 217513 236119 254282 261703 281834 290608 322096 322504 357448 435026 472238 508564 523406 563668 645008 714896 870052 944476 1017128 1046812 1127336 1522591 1652833 1740104 1831921 1888952 2034256 2093624 2254672 2827669 3045182 3305666 3480208 3663842 3777904 4187248 5655338 6090364 6611332 7327684 8918033 11310676 12180728 13222664 14655368 17836066 19793683 22621352 24361456 26445328 29310736 35672132 39587366 45242704 62426231 71344264 79174732 115934429 124852462 142688528 158349464 231868858 249704924 316698928 463737716 499409848 811541003 927475432 998819696 1623082006 1854950864 3246164012 6492328024 12984656048