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12652277456016 = 2432112269472
BaseRepresentation
bin1011100000011101011010…
…0000001101110010010000
31122210112201222012002020100
42320013112200031302100
53124243331012043031
642524213115412400
72444045141631522
oct270072640156220
948715658162210
1012652277456016
114038889863900
12150411a154100
1370a148b9a903
1431a532c33a12
1516e1ac54ede6
hexb81d680dc90

12652277456016 has 135 divisors (see below), whose sum is σ = 38921865607443. Its totient is φ = 3833881191360.

The previous prime is 12652277456011. The next prime is 12652277456017. The reversal of 12652277456016 is 61065477225621.

The square root of 12652277456016 is 3557004.

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

12652277456016 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 2 + 2 + 7 + 74 + 560 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (12652277456011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 469511055 + ... + 469538001.

Almost surely, 212652277456016 is an apocalyptic number.

12652277456016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12652277456016 is the 3557004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12652277456016

12652277456016 is an abundant number, since it is smaller than the sum of its proper divisors (26269588151427).

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

12652277456016 is an frugal number, since it uses more digits than its factorization.

12652277456016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53930 (or 26963 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 12652277456016 in words is "twelve trillion, six hundred fifty-two billion, two hundred seventy-seven million, four hundred fifty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 17424 26947 53894 80841 107788 161682 215576 242523 296417 323364 431152 485046 592834 646728 889251 970092 1185668 1293456 1778502 1940184 2371336 2667753 3260587 3557004 3880368 4742672 5335506 6521174 7114008 9781761 10671012 13042348 14228016 19563522 21342024 26084696 29345283 39127044 42684048 52169392 58690566 78254088 117381132 156508176 234762264 469524528 726140809 1452281618 2178422427 2904563236 4356844854 5809126472 6535267281 7987548899 8713689708 11618252944 13070534562 15975097798 17427379416 23962646697 26141069124 31950195596 34854758832 47925293394 52282138248 63900391192 71887940091 87863037889 95850586788 104564276496 127800782384 143775880182 175726075778 191701173576 263589113667 287551760364 351452151556 383402347152 527178227334 575103520728 702904303112 790767341001 1054356454668 1150207041456 1405808606224 1581534682002 2108712909336 3163069364004 4217425818672 6326138728008 12652277456016