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12050520430494 = 23713613371073627
BaseRepresentation
bin1010111101011011101011…
…1111010101011110011110
31120200000111111011212211210
42233112322333111132132
53034413431212233434
641343533242125250
72352423062413230
oct257267277253636
946600444155753
1012050520430494
113926662698aa7
12142757aab0826
13695489218a40
142d93694a2250
1515d6dd316ee9
hexaf5bafd579e

12050520430494 has 128 divisors (see below), whose sum is σ = 30238586606592. Its totient is φ = 3116779223040.

The previous prime is 12050520430483. The next prime is 12050520430523. The reversal of 12050520430494 is 49403402505021.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10687309 + ... + 11760935.

It is an arithmetic number, because the mean of its divisors is an integer number (236238957864).

Almost surely, 212050520430494 is an apocalyptic number.

12050520430494 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12050520430494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15119293303296).

12050520430494 is an abundant number, since it is smaller than the sum of its proper divisors (18188066176098).

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

12050520430494 is a wasteful number, since it uses less digits than its factorization.

12050520430494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074050.

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 12050520430494 in words is "twelve trillion, fifty billion, five hundred twenty million, four hundred thirty thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 61 78 91 122 182 183 273 337 366 427 546 674 793 854 1011 1281 1586 2022 2359 2379 2562 4381 4718 4758 5551 7077 8762 11102 13143 14154 16653 20557 26286 30667 33306 41114 61334 61671 92001 123342 143899 184002 267241 287798 431697 534482 801723 863394 1073627 1603446 1870687 2147254 3220881 3741374 5612061 6441762 7515389 11224122 13957151 15030778 22546167 27914302 41871453 45092334 65491247 83742906 97700057 130982494 195400114 196473741 293100171 361812299 392947482 458438729 586200342 723624598 851386211 916877458 1085436897 1375316187 1702772422 2170873794 2532686093 2554158633 2750632374 4703559887 5065372186 5108317266 5959703477 7598058279 9407119774 11919406954 14110679661 15196116558 17879110431 22070550239 28221359322 32924919209 35758220862 44141100478 65849838418 66211650717 98774757627 132423301434 154493851673 197549515254 286917153107 308987703346 463481555019 573834306214 860751459321 926963110038 1721502918642 2008420071749 4016840143498 6025260215247 12050520430494