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12798666504 = 233213127910691
BaseRepresentation
bin10111110101101110…
…00010011100001000
31020000221221121211100
423322313002130020
5202202424312004
65513555501400
7632106604341
oct137267023410
936027847740
1012798666504
115478571638
1225922b7860
13128c76b760
14895b1b0c8
154ed932739
hex2fadc2708

12798666504 has 96 divisors (see below), whose sum is σ = 37362124800. Its totient is φ = 3934604160.

The previous prime is 12798666497. The next prime is 12798666521. The reversal of 12798666504 is 40566689721.

12798666504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×127986665042 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1191799 + ... + 1202489.

It is an arithmetic number, because the mean of its divisors is an integer number (389188800).

Almost surely, 212798666504 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 12798666504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681062400).

12798666504 is an abundant number, since it is smaller than the sum of its proper divisors (24563458296).

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

12798666504 is a wasteful number, since it uses less digits than its factorization.

12798666504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11995 (or 11988 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 12798666504 in words is "twelve billion, seven hundred ninety-eight million, six hundred sixty-six thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1279 2558 3837 5116 7674 10232 10691 11511 15348 16627 21382 23022 30696 32073 33254 42764 46044 49881 64146 66508 85528 92088 96219 99762 128292 133016 138983 149643 192438 199524 256584 277966 299286 384876 399048 416949 555932 598572 769752 833898 1111864 1197144 1250847 1667796 2501694 3335592 5003388 10006776 13673789 27347578 41021367 54695156 82042734 109390312 123064101 164085468 177759257 246128202 328170936 355518514 492256404 533277771 711037028 984512808 1066555542 1422074056 1599833313 2133111084 3199666626 4266222168 6399333252 12798666504