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12730963536 = 2433171733519
BaseRepresentation
bin10111101101101001…
…10001011001010000
31012212020112221211000
423312310301121100
5202033111313121
65503140422000
7630325255524
oct136664613120
935766487730
1012730963536
11544332a375
1225736a7900
13127b725625
1488ab35d84
154e7a0c526
hex2f6d31650

12730963536 has 80 divisors (see below), whose sum is σ = 38692166400. Its totient is φ = 3994025472.

The previous prime is 12730963513. The next prime is 12730963561. The reversal of 12730963536 is 63536903721.

12730963536 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 0 + 9 + 635 + 3 + 6 = 666.

12730963536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12730963491 and 12730963500.

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 15 ways as a sum of consecutive naturals, for example, 859416 + ... + 874103.

It is an arithmetic number, because the mean of its divisors is an integer number (483652080).

Almost surely, 212730963536 is an apocalyptic number.

12730963536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12730963536 is an abundant number, since it is smaller than the sum of its proper divisors (25961202864).

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

12730963536 is a wasteful number, since it uses less digits than its factorization.

12730963536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733553 (or 1733541 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 12730963536 in words is "twelve billion, seven hundred thirty million, nine hundred sixty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 1733519 3467038 5200557 6934076 10401114 13868152 15601671 20802228 27736304 29469823 31203342 41604456 46805013 58939646 62406684 83208912 88409469 93610026 117879292 124813368 176818938 187220052 235758584 249626736 265228407 353637876 374440104 471517168 530456814 707275752 748880208 795685221 1060913628 1414551504 1591370442 2121827256 3182740884 4243654512 6365481768 12730963536