Search a number
-
+
12545781703056 = 24327109111408077
BaseRepresentation
bin1011011010010000101011…
…0111001010000110010000
31122102100212002122022002200
42312210022313022012100
53121022230103444211
642403241430043200
72433255110646660
oct266441267120620
948370762568080
1012545781703056
113aa76aa781428
1214a7558aa9500
137000a6696484
1431530d1d61a0
1516b527e02b56
hexb690adca190

12545781703056 has 120 divisors (see below), whose sum is σ = 40163370671424. Its totient is φ = 3581223217920.

The previous prime is 12545781703019. The next prime is 12545781703079. The reversal of 12545781703056 is 65030718754521.

12545781703056 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 578 + 17 + 0 + 3 + 0 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12545781702993 and 12545781703011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4604311 + ... + 6803766.

Almost surely, 212545781703056 is an apocalyptic number.

12545781703056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12545781703056 is an abundant number, since it is smaller than the sum of its proper divisors (27617588968368).

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

12545781703056 is a wasteful number, since it uses less digits than its factorization.

12545781703056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11409189 (or 11409180 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 12545781703056 in words is "twelve trillion, five hundred forty-five billion, seven hundred eighty-one million, seven hundred three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1091 2182 3273 4364 6546 7637 8728 9819 13092 15274 17456 19638 22911 26184 30548 39276 45822 52368 61096 68733 78552 91644 122192 137466 157104 183288 274932 366576 549864 1099728 11408077 22816154 34224231 45632308 68448462 79856539 91264616 102672693 136896924 159713078 182529232 205345386 239569617 273793848 319426156 410690772 479139234 547587696 638852312 718708851 821381544 958278468 1277704624 1437417702 1642763088 1916556936 2874835404 3833113872 5749670808 11499341616 12446212007 24892424014 37338636021 49784848028 74677272042 87123484049 99569696056 112015908063 149354544084 174246968098 199139392112 224031816126 261370452147 298709088168 348493936196 448063632252 522740904294 597418176336 696987872392 784111356441 896127264504 1045481808588 1393975744784 1568222712882 1792254529008 2090963617176 3136445425764 4181927234352 6272890851528 12545781703056