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12783084718336 = 281946192
BaseRepresentation
bin1011101000000100101100…
…1110010100100100000000
31200021001101011010111120121
42322001023032110210000
53133414224141441321
643104245033150024
72456355520210402
oct272011316244400
950231334114517
1012783084718336
114089304084079
12152554525b314
13719594098a4a
143229c15d8b72
151727b61c2441
hexba04b394900

12783084718336 has 135 divisors (see below), whose sum is σ = 26977375350051. Its totient is φ = 6045363251712.

The previous prime is 12783084718319. The next prime is 12783084718379. The reversal of 12783084718336 is 63381748038721.

The square root of 12783084718336 is 3575344.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 20651186635 + ... + 20651187253.

Almost surely, 212783084718336 is an apocalyptic number.

12783084718336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12783084718336 is the 3575344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12783084718336

12783084718336 is an abundant number, since it is smaller than the sum of its proper divisors (14194290631715).

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

12783084718336 is an frugal number, since it uses more digits than its factorization.

12783084718336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 61.

The spelling of 12783084718336 in words is "twelve trillion, seven hundred eighty-three billion, eighty-four million, seven hundred eighteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 608 619 722 1216 1238 1444 2432 2476 2888 4864 4952 5776 6859 9904 11552 11761 13718 19808 23104 23522 27436 39616 46208 47044 54872 79232 92416 94088 109744 130321 158464 188176 219488 223459 260642 376352 383161 438976 446918 521284 752704 766322 877952 893836 1042568 1505408 1532644 1755904 1787672 2085136 3010816 3065288 3575344 4170272 4245721 6130576 7150688 7280059 8340544 8491442 12261152 14301376 14560118 16681088 16982884 24522304 28602752 29120236 33362176 33965768 49044608 57205504 58240472 67931536 80668699 98089216 116480944 135863072 138321121 161337398 232961888 271726144 276642242 322674796 465923776 543452288 553284484 645349592 931847552 1086904576 1106568968 1290699184 1863695104 2213137936 2581398368 2628101299 4426275872 5162796736 5256202598 8852551744 10325593472 10512405196 17705103488 20651186944 21024810392 35410206976 42049620784 49933924681 84099241568 99867849362 168198483136 199735698724 336396966272 399471397448 672793932544 798942794896 1597885589792 3195771179584 6391542359168 12783084718336