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20493792710946 = 23229411138474021
BaseRepresentation
bin1001010100011100101010…
…01111000001000100100010
32200120012001122120021002200
410222032111033001010202
510141232241413222241
6111330415101354030
74213425200556522
oct452162517010442
980505048507080
1020493792710946
116591406793385
12236ba01868916
13b58730428ab9
1450bc94d13682
15258155a874b6
hex12a3953c1122

20493792710946 has 96 divisors (see below), whose sum is σ = 47471132283120. Its totient is φ = 6377886412800.

The previous prime is 20493792710927. The next prime is 20493792710971. The reversal of 20493792710946 is 64901729739402.

20493792710946 is a `hidden beast` number, since 2 + 0 + 493 + 7 + 92 + 7 + 10 + 9 + 46 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6130155087225 + 14363637623721 = 2475915^2 + 3789939^2 .

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, 1818585 + ... + 6655436.

Almost surely, 220493792710946 is an apocalyptic number.

20493792710946 is an abundant number, since it is smaller than the sum of its proper divisors (26977339572174).

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

20493792710946 is a wasteful number, since it uses less digits than its factorization.

20493792710946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8474212 (or 8474209 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 20493792710946 in words is "twenty trillion, four hundred ninety-three billion, seven hundred ninety-two million, seven hundred ten thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 113 123 174 226 246 261 339 369 522 678 738 1017 1189 2034 2378 3277 3567 4633 6554 7134 9266 9831 10701 13899 19662 21402 27798 29493 41697 58986 83394 134357 268714 403071 806142 1209213 2418426 8474021 16948042 25422063 50844126 76266189 152532378 245746609 347434861 491493218 694869722 737239827 957564373 1042304583 1474479654 1915128746 2084609166 2211719481 2872693119 3126913749 4423438962 5745386238 6253827498 8618079357 10075610969 17236158714 20151221938 27769366817 30226832907 39260139293 55538733634 60453665814 78520278586 83308100451 90680498721 117780417879 166616200902 181360997442 235560835758 249924301353 353341253637 499848602706 706682507274 1138544039497 2277088078994 3415632118491 6831264236982 10246896355473 20493792710946