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12652463340 = 22325117398647
BaseRepresentation
bin10111100100010010…
…10100010011101100
31012122202211201210100
423302021110103230
5201403012311330
65451254111100
7625353110136
oct136211242354
935582751710
1012652463340
115402a92a80
12255134b490
13126839baca
14880540056
154e0ba3060
hex2f22544ec

12652463340 has 144 divisors (see below), whose sum is σ = 41929655040. Its totient is φ = 3062759040.

The previous prime is 12652463293. The next prime is 12652463357. The reversal of 12652463340 is 4336425621.

12652463340 is a `hidden beast` number, since 12 + 6 + 5 + 2 + 4 + 633 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12652463295 and 12652463304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1458897 + ... + 1467543.

It is an arithmetic number, because the mean of its divisors is an integer number (291178160).

Almost surely, 212652463340 is an apocalyptic number.

12652463340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12652463340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20964827520).

12652463340 is an abundant number, since it is smaller than the sum of its proper divisors (29277191700).

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

12652463340 is a wasteful number, since it uses less digits than its factorization.

12652463340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9412 (or 9407 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 12652463340 its reverse (4336425621), we get a palindrome (16988888961).

The spelling of 12652463340 in words is "twelve billion, six hundred fifty-two million, four hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 739 990 1478 1980 2217 2956 3695 4434 6651 7390 8129 8647 8868 11085 13302 14780 16258 17294 22170 24387 25941 26604 32516 33255 34588 40645 43235 44340 48774 51882 66510 73161 77823 81290 86470 95117 97548 103764 121935 129705 133020 146322 155646 162580 172940 190234 243870 259410 285351 292644 311292 365805 380468 389115 475585 487740 518820 570702 731610 778230 856053 951170 1141404 1426755 1463220 1556460 1712106 1902340 2853510 3424212 4280265 5707020 6390133 8560530 12780266 17121060 19170399 25560532 31950665 38340798 57511197 63901330 70291463 76681596 95851995 115022394 127802660 140582926 191703990 210874389 230044788 281165852 287555985 351457315 383407980 421748778 575111970 632623167 702914630 843497556 1054371945 1150223940 1265246334 1405829260 2108743890 2530492668 3163115835 4217487780 6326231670 12652463340