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12680857842772 = 2273145738818237
BaseRepresentation
bin1011100010000111111000…
…0001101111010001010100
31122220021111210020011100011
42320201332001233101110
53130230344101432042
642545301120330004
72446106323126330
oct270417601572124
948807453204304
1012680857842772
114049a15732449
121509775773904
1370ca52107b72
1431ba849027c0
1516ecd170ca17
hexb887e06f454

12680857842772 has 96 divisors (see below), whose sum is σ = 26247068338176. Its totient is φ = 5245844428800.

The previous prime is 12680857842739. The next prime is 12680857842833. The reversal of 12680857842772 is 27724875808621.

It is a junction number, because it is equal to n+sod(n) for n = 12680857842698 and 12680857842707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1539495438 + ... + 1539503674.

It is an arithmetic number, because the mean of its divisors is an integer number (273406961856).

Almost surely, 212680857842772 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 12680857842772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13123534169088).

12680857842772 is an abundant number, since it is smaller than the sum of its proper divisors (13566210495404).

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

12680857842772 is a wasteful number, since it uses less digits than its factorization.

12680857842772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12617 (or 12615 counting only the distinct ones).

The product of its (nonzero) digits is 168591360, while the sum is 67.

The spelling of 12680857842772 in words is "twelve trillion, six hundred eighty billion, eight hundred fifty-seven million, eight hundred forty-two thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 457 868 914 1828 3199 3881 6398 7762 8237 12796 14167 15524 16474 27167 28334 32948 54334 56668 57659 99169 108668 115318 120311 198338 230636 240622 255347 396676 481244 510694 842177 1021388 1684354 1773617 1787429 3368708 3547234 3574858 3764309 7094468 7149716 7528618 12415319 15057236 24830638 26350163 31967797 49661276 52700326 54982127 63935594 105400652 109964254 116693579 127871188 219928508 223774579 233387158 384874889 447549158 466774316 769749778 816855053 895098316 991001707 1539499556 1633710106 1982003414 3267420212 3964006828 6937011949 13874023898 14609283229 27748047796 29218566458 58437132916 102264982603 204529965206 409059930412 452887780099 905775560198 1811551120396 3170214460693 6340428921386 12680857842772